This document discusses the concepts of efficiency, costs, and benefits in allocating resources. It defines static and dynamic efficiency. Static efficiency is achieved when marginal benefits from a resource allocation equal marginal costs, maximizing net benefits. The market equilibrium satisfies static efficiency. Total benefits are measured by the area under the demand curve, and total costs by the area under the supply curve. Consumers and producers both gain from trade, capturing benefits in the form of consumer and producer surplus, respectively. Dynamic efficiency considers intertemporal allocation and how decisions made now impact future consumption and production possibilities.
This document discusses different types of costs including explicit, implicit, accounting, economic, replacement, fixed, variable, incremental, sunk, total, average, and marginal costs. It also covers cost concepts like total cost, average cost, marginal cost curves. Other topics covered include short run and long run costs, economies and diseconomies of scale, learning curves, and break-even analysis. Key cost relationships and cost minimization are also summarized.
This document discusses various cost concepts in economics. It defines private and social costs, and explains how private costs can be measured using economic and accounting costs. Economic cost includes explicit costs like wages as well as implicit opportunity costs. The document then discusses different types of costs in the short run including total, variable, fixed, average, and marginal costs. It provides examples and graphs to illustrate cost curves and their relationships. Specifically, it explains that AVC, ATC and MC curves are U-shaped due to the law of variable proportions. The document also discusses costs in the long run and how the long run average cost curve is determined by the envelope of short run average cost curves. Finally, it discusses the learning curve concept and how
1. The document discusses capital markets and the rate of return on capital investments over time. It defines the single period rate of return and perpetual rate of return.
2. It explains how individuals maximize utility by allocating consumption between present and future periods, based on the rate of return and their time preference.
3. Equilibrium in capital markets occurs where the rate of return makes individuals indifferent between present and future consumption and covers costs for firms providing capital.
- Economics is the study of allocating scarce resources to meet unlimited human wants. Opportunity cost is the value of the best alternative forgone when making a choice between mutually exclusive alternatives.
- The law of diminishing marginal utility states that as consumption of a good increases, the marginal utility from each additional unit decreases. Total utility initially increases at an increasing rate, reaches a maximum, then decreases.
- Demand is the quantity of a good consumers are willing and able to purchase at various prices. The law of demand states that, all else equal, as price increases, demand decreases. The demand curve slopes downward due to substitution, income, and future expectations effects.
- Supply is the quantity of a
Economics can be defined as a social science that is studied about the behavior of people.
“A social science that deals with how consumers, producers and societies choose alternatives, among uses of scarce resources in process of producing, exchanging and consuming goods and services.”
The document discusses cost and revenue functions in the short run and long run. It defines key concepts like total, average, and marginal costs. Total costs are divided into total fixed and total variable costs. Average costs include average fixed cost, average variable cost, and average total cost. Marginal cost is the change in total cost from producing an additional unit. Similarly, the document defines total, average, and marginal revenue. It explains how costs and revenues behave in the short run versus the long run.
1) The document discusses concepts related to economic efficiency and welfare analysis including consumer surplus, producer surplus, and how market equilibrium maximizes total surplus.
2) It examines how price controls, taxes, trade restrictions can result in both transfers between parties and deadweight welfare losses by preventing beneficial transactions.
3) Key factors in determining the incidence of taxes and effects of policies are the price elasticities of supply and demand, with inelastic sides bearing more of the burden.
Global Futures & Strategic Foresight (GFSF) program enhances and uses a coordinated suite of biophysical and socioeconomic models to assess potential returns to investments in new agricultural technologies and policies. These models include IFPRI’s International Model for Policy Analysis of Agricultural Commodities and Trade (IMPACT), hydrology and water supply-demand models, and the DSSAT suite of process-based crop models.
The program also provides tools and trainings to scientists and policy makers to undertake similar assessments.
GFSF program is a Consultative Group on International Agricultural Research (CGIAR) program led by the International Food Policy Research Institute (IFPRI)
This document discusses different types of costs including explicit, implicit, accounting, economic, replacement, fixed, variable, incremental, sunk, total, average, and marginal costs. It also covers cost concepts like total cost, average cost, marginal cost curves. Other topics covered include short run and long run costs, economies and diseconomies of scale, learning curves, and break-even analysis. Key cost relationships and cost minimization are also summarized.
This document discusses various cost concepts in economics. It defines private and social costs, and explains how private costs can be measured using economic and accounting costs. Economic cost includes explicit costs like wages as well as implicit opportunity costs. The document then discusses different types of costs in the short run including total, variable, fixed, average, and marginal costs. It provides examples and graphs to illustrate cost curves and their relationships. Specifically, it explains that AVC, ATC and MC curves are U-shaped due to the law of variable proportions. The document also discusses costs in the long run and how the long run average cost curve is determined by the envelope of short run average cost curves. Finally, it discusses the learning curve concept and how
1. The document discusses capital markets and the rate of return on capital investments over time. It defines the single period rate of return and perpetual rate of return.
2. It explains how individuals maximize utility by allocating consumption between present and future periods, based on the rate of return and their time preference.
3. Equilibrium in capital markets occurs where the rate of return makes individuals indifferent between present and future consumption and covers costs for firms providing capital.
- Economics is the study of allocating scarce resources to meet unlimited human wants. Opportunity cost is the value of the best alternative forgone when making a choice between mutually exclusive alternatives.
- The law of diminishing marginal utility states that as consumption of a good increases, the marginal utility from each additional unit decreases. Total utility initially increases at an increasing rate, reaches a maximum, then decreases.
- Demand is the quantity of a good consumers are willing and able to purchase at various prices. The law of demand states that, all else equal, as price increases, demand decreases. The demand curve slopes downward due to substitution, income, and future expectations effects.
- Supply is the quantity of a
Economics can be defined as a social science that is studied about the behavior of people.
“A social science that deals with how consumers, producers and societies choose alternatives, among uses of scarce resources in process of producing, exchanging and consuming goods and services.”
The document discusses cost and revenue functions in the short run and long run. It defines key concepts like total, average, and marginal costs. Total costs are divided into total fixed and total variable costs. Average costs include average fixed cost, average variable cost, and average total cost. Marginal cost is the change in total cost from producing an additional unit. Similarly, the document defines total, average, and marginal revenue. It explains how costs and revenues behave in the short run versus the long run.
1) The document discusses concepts related to economic efficiency and welfare analysis including consumer surplus, producer surplus, and how market equilibrium maximizes total surplus.
2) It examines how price controls, taxes, trade restrictions can result in both transfers between parties and deadweight welfare losses by preventing beneficial transactions.
3) Key factors in determining the incidence of taxes and effects of policies are the price elasticities of supply and demand, with inelastic sides bearing more of the burden.
Global Futures & Strategic Foresight (GFSF) program enhances and uses a coordinated suite of biophysical and socioeconomic models to assess potential returns to investments in new agricultural technologies and policies. These models include IFPRI’s International Model for Policy Analysis of Agricultural Commodities and Trade (IMPACT), hydrology and water supply-demand models, and the DSSAT suite of process-based crop models.
The program also provides tools and trainings to scientists and policy makers to undertake similar assessments.
GFSF program is a Consultative Group on International Agricultural Research (CGIAR) program led by the International Food Policy Research Institute (IFPRI)
The document discusses various concepts related to cost. It defines cost as a sacrifice or foregone opportunity measured in monetary terms. It then discusses different types of costs such as fixed costs, variable costs, sunk costs, explicit costs, implicit costs, and others. It also discusses cost determination factors and different cost curves and functions in the short run and long run, including total cost, average cost, and marginal cost curves. Finally, it discusses costs for multi-product firms and joint products.
This document discusses models of monopoly and barriers to entry. It explains that a monopoly is a single supplier in a market and can choose any point on the demand curve to produce. Barriers to entry, which are the source of monopoly power, can be technical or legal. Technical barriers include economies of scale, unique knowledge, or ownership of resources. Legal barriers are created by patents, franchises, or lobbying. A monopolist maximizes profits where marginal revenue equals marginal cost and charges a price above marginal cost. The inverse elasticity rule relates the markup to demand elasticity. Monopolies can impact resource allocation, consumer surplus, and welfare losses compared to competition.
This document provides an overview of key concepts in cost revenue analysis, including the production process, fixed and variable inputs, short-run versus long-run costs, the production function, marginal product, the law of diminishing returns, economic versus accounting costs, cost curves, revenue analysis, break-even and shutdown points, and scales of production in the long run. It defines important terms and concepts and provides examples to illustrate them.
This document discusses cost concepts and types of costs. It defines explicit costs as actual money expenditures paid to outsiders, and implicit costs as the estimated value of owner-supplied inputs including normal profit. Cost is a function of output, and types of costs include total fixed costs, total variable costs, total costs, average fixed costs, average variable costs, average costs, and marginal costs. Long-run costs are all variable as all factors are variable. Economies of scale provide cost advantages from expansion, including pecuniary and real economies, while internal economies come from changes within the firm and external economies from changes outside the firm like government policies.
This document discusses the economic costs of production for businesses. It defines economic costs as the opportunity costs of resources used in production, including both explicit monetary costs and implicit costs. The document distinguishes between accounting profit, which only considers explicit costs, and economic profit, which considers total opportunity costs. It then covers the relationships between total, marginal, and average production in the short-run and how costs like total, average, and marginal costs are derived. Finally, it discusses long-run production costs and how economies of scale can result in lower average costs for businesses.
There are numerous general economic concepts that must be taken into account in engineering studies.
In broad terms, economics deals with the interactions between people and wealth, and engineering is concerned with the cost-effective use of scientific knowledge to benefit humankind.
This section introduces some of these basic economic concepts and indicates how they may be factors for consideration in engineering studies and managerial decisions.
Factor pricing is determined by demand and supply in competitive markets. The three main factors of production that are traded are labor, land, and capital. Labor demand is determined by the point where the marginal product of labor equals the wage rate. The individual labor supply curve may bend backward at high wages, but the market supply curve remains upward sloping in the long run. Factor prices are determined by the equilibrium of demand and supply in the market. Rent is the payment for fixed factors in excess of their opportunity cost. Profit provides rewards for entrepreneurship, risk-taking, and innovation in imperfect markets.
This document defines accounting costs and economic costs, and explains how economists focus more on opportunity cost. It then discusses how labor, capital, and entrepreneurial costs are viewed from both the accounting and economic perspectives. The document goes on to mathematically define total costs, average costs, and marginal costs for a firm. It also discusses how a firm can determine the cost-minimizing combinations of inputs for different output levels to develop its expansion path. Various production functions and the resulting cost functions are presented as examples.
Perfectly Competitive Market: Basic Concepts and AssumptionsArambamSophia
The PPT discusses the basic concept of a market in Economics and also the assumptions underlying the perfectly competitive market. It also discusses the concept of costs in the traditional theory of the firm. It is not an advanced lecture and would be useful for those not familiar with the basics. The reference is 'Modern Microeconomics' by Koutsoyiannnis'
The document discusses various cost concepts in economics including:
- Opportunity cost is the next best alternative use of a resource.
- Accounting costs include explicit payments, while economic costs also include implicit opportunity costs.
- Total, average, and marginal costs are defined for both the short-run and long-run. In the short-run some costs are fixed while in the long-run all costs are variable.
- Cost curves like AVC, ATC, and MC are U-shaped based on the law of diminishing returns in production. Minimum efficient scale is where long-run average costs are minimized.
Perfect competition is a market structure with many small firms, homogeneous products, perfect information and free entry and exit. In the short run, firms maximize profits where marginal cost (MC) equals marginal revenue (MR). Abnormal profits attract new firms, lowering prices to normal profits when MC equals average cost (AC). Allocative efficiency occurs where MC equals average revenue (AR). In the long run, productive, allocative and profit maximizing efficiencies are achieved at the same output level.
The cost of production/Chapter 7(pindyck)RAHUL SINHA
content
•MEASURING COST: WHICH COSTS MATTER?
•Fixed and variable cost
•Fixed versus sunk cost
•Amortizing Sunk Costs
•Marginal cost
•Average cost
•Determinants of short run cost
•Diminishing marginal returns
•The shapes of cost curves
•The Average–Marginal Relationship
•Costs in a long run
•Cost minimizing input choices
•Isocost lines
•Marginal rate of technical substitution
•Expansion path
•The Inflexibility of Short-Run Production
•Long run average cost
•Economies and Diseconomies of Scale
•The Relationship Between Short-Run and Long-Run Cost
•Break even analysis
Cost refers to the total expenditure incurred by a producer to produce a given level of output. It includes explicit costs, which are cash payments to factors of production, and implicit costs, which are imputed costs of self-owned resources. Total cost is the sum of fixed costs, which do not vary with output, and variable costs, which do vary with output. Marginal cost is the change in total cost from producing one additional unit of output. It is U-shaped, initially decreasing and then increasing, reflecting the law of variable proportions. Average cost is total cost divided by output and is the sum of average fixed cost and average variable cost.
Production Function is a statement of the relationship between a firm’s scarce resources (inputs) and the output that results from the use of these resources.
In mathematical terms, the PF can be expressed as:
Q= f (X1, X2…………Xk) where
Q=output, X1…………Xk=inputs used in the production process
This document discusses cost-volume-profit (CVP) analysis and cost curves. It begins by defining CVP analysis as a technique for studying the relationship between costs, volume, and profit. It then outlines the assumptions of CVP analysis and describes three techniques: contribution analysis, profit-volume ratio analysis, and break-even analysis. The document also discusses average cost (AC), total cost (TC), and marginal cost (MC) curves in both the short-run and long-run, explaining how they are related and their different shapes.
Cost & Production Analysis For MBA Students.pptaviatordevendra
This document discusses key concepts related to production and cost analysis. It defines inputs, fixed and variable inputs, production functions, total product, average product, marginal product, and the law of diminishing marginal returns. It also covers production in the short run and long run, including isoquants, marginal rate of technical substitution, and returns to scale. The document analyzes costs including fixed, variable, and total costs. It discusses average and marginal costs, breakeven analysis, and economies of scale. Finally, it covers long run cost relationships including long run total cost, average cost, and marginal cost curves.
Problem Set 2.pdfProblem Set 2 ECO105 Industrial Organiz.docxwkyra78
Problem Set 2.pdf
Problem Set 2
ECO105 Industrial Organization and Firm Strategy
Professor Michael Noel
University of California San Diego
------
1. A single-product monopolist sells output to two geographically separated markets. Arbitrage is not
possible. The inverse demand curve in market 1 is given by p1 = 8 - q1 and in market 2, it is p2 = 4 -
q2. Note: if you get stuck in one part, move on to the next.)
a. The monopolist currently produces the output at a single plant (called plant "A") with total cost
function C(qA) = 0.5qA
2. Hence qA = q1 + q2 is the total output of the firm (which we can also
call Q). Find the quantities sold in each market, q1 and q2, and total output Q. Find the profits of
the firm. (Hint: this is the basic third degree price discriminating problem. Make sure to
substitute qA out of the problem using the constraint, so that the problem is all in terms of the
two “free” variables, q1 and q2.)
b. (From an old exam.) The monopolist is considering adding a second plant, plant "B". The total
cost function for plant "B" is C(qB) = qB + 0.25qB
2. Hence, if the monopolist purchases the new
plant, her total production is qA + qB = Q, where qA is produced in plant A and qB is produced in
plant B. She then sells Q = q1 + q2 in output, where q1 is sold in market 1 and q2 is sold in market
2. Find the output sold in each market, q1 and q2, the amount of good produced at each plant, qA
and qB, and the total output, Q. Find the profits of the firm in this case. How much is the firm
willing to pay to purchase plant B? (Hint: Do NOT assume that a single plant is matched solely
with a single market! You only know that the total produced equals to the total sold, so q1 + q2 =
qA + qB ( = Q). There are now four quantities to find, q1, q2, qA, qB, but only three of them are
“free variables”, i.e. can be independently chosen. So for example, if you know q1, q2 and qA, it
necessarily determines what qB must be. So set up your profit function initially in terms of all
four quantities and but then use the constraint q1 + q2 = qA + qB to substitute out one of the four.
Which three quantities you keep in the equation is up to you. Then solve for three first order
conditions.)
c. (Challenging.) Assume a new law prohibits price discrimination and requires the monopolist to
charge the same price in both markets. Repeat part a. under this assumption, i.e. only plant A. Has
welfare increased, decreased or remained unchanged relative to part a.? Warning: check to see if
both markets are being served in equilibrium! (You will need to “add” up the two demand curves
– add the q’s, not the p’s! A diagram will help. Watch out for the kinks, it may be that only one
group will be served and it may be that both will be served. At the end it may help to plot your
numerical answer on your graph and make sure it makes sense. For example, if you find both
groups are served, you should be on the segment of the ...
The document discusses different theories of cost, including traditional and modern theories. Under traditional theory, costs are categorized as total, average, and marginal in both the short-run and long-run. Total cost equals total fixed cost plus total variable cost. Average cost depends on average fixed and average variable cost. Marginal cost is the change in total cost from producing one additional unit. In the long-run, all costs are variable. Modern theory proposes cost curves are L-shaped rather than U-shaped as traditionally thought.
This document summarizes key concepts related to supply, production, and cost analysis. It discusses supply analysis including the law of supply and factors that determine elasticity of supply. It also covers market equilibrium and changes in equilibrium. On production, it introduces the meaning of production and production functions. Regarding costs, it outlines different types of costs including private vs social costs, accounting vs economic costs, and short-run vs long-run costs. It also discusses economies of scale and cost-output relationships over the short-run and long-run.
Presented by The Global Peatlands Assessment: Mapping, Policy, and Action at GLF Peatlands 2024 - The Global Peatlands Assessment: Mapping, Policy, and Action
The document discusses various concepts related to cost. It defines cost as a sacrifice or foregone opportunity measured in monetary terms. It then discusses different types of costs such as fixed costs, variable costs, sunk costs, explicit costs, implicit costs, and others. It also discusses cost determination factors and different cost curves and functions in the short run and long run, including total cost, average cost, and marginal cost curves. Finally, it discusses costs for multi-product firms and joint products.
This document discusses models of monopoly and barriers to entry. It explains that a monopoly is a single supplier in a market and can choose any point on the demand curve to produce. Barriers to entry, which are the source of monopoly power, can be technical or legal. Technical barriers include economies of scale, unique knowledge, or ownership of resources. Legal barriers are created by patents, franchises, or lobbying. A monopolist maximizes profits where marginal revenue equals marginal cost and charges a price above marginal cost. The inverse elasticity rule relates the markup to demand elasticity. Monopolies can impact resource allocation, consumer surplus, and welfare losses compared to competition.
This document provides an overview of key concepts in cost revenue analysis, including the production process, fixed and variable inputs, short-run versus long-run costs, the production function, marginal product, the law of diminishing returns, economic versus accounting costs, cost curves, revenue analysis, break-even and shutdown points, and scales of production in the long run. It defines important terms and concepts and provides examples to illustrate them.
This document discusses cost concepts and types of costs. It defines explicit costs as actual money expenditures paid to outsiders, and implicit costs as the estimated value of owner-supplied inputs including normal profit. Cost is a function of output, and types of costs include total fixed costs, total variable costs, total costs, average fixed costs, average variable costs, average costs, and marginal costs. Long-run costs are all variable as all factors are variable. Economies of scale provide cost advantages from expansion, including pecuniary and real economies, while internal economies come from changes within the firm and external economies from changes outside the firm like government policies.
This document discusses the economic costs of production for businesses. It defines economic costs as the opportunity costs of resources used in production, including both explicit monetary costs and implicit costs. The document distinguishes between accounting profit, which only considers explicit costs, and economic profit, which considers total opportunity costs. It then covers the relationships between total, marginal, and average production in the short-run and how costs like total, average, and marginal costs are derived. Finally, it discusses long-run production costs and how economies of scale can result in lower average costs for businesses.
There are numerous general economic concepts that must be taken into account in engineering studies.
In broad terms, economics deals with the interactions between people and wealth, and engineering is concerned with the cost-effective use of scientific knowledge to benefit humankind.
This section introduces some of these basic economic concepts and indicates how they may be factors for consideration in engineering studies and managerial decisions.
Factor pricing is determined by demand and supply in competitive markets. The three main factors of production that are traded are labor, land, and capital. Labor demand is determined by the point where the marginal product of labor equals the wage rate. The individual labor supply curve may bend backward at high wages, but the market supply curve remains upward sloping in the long run. Factor prices are determined by the equilibrium of demand and supply in the market. Rent is the payment for fixed factors in excess of their opportunity cost. Profit provides rewards for entrepreneurship, risk-taking, and innovation in imperfect markets.
This document defines accounting costs and economic costs, and explains how economists focus more on opportunity cost. It then discusses how labor, capital, and entrepreneurial costs are viewed from both the accounting and economic perspectives. The document goes on to mathematically define total costs, average costs, and marginal costs for a firm. It also discusses how a firm can determine the cost-minimizing combinations of inputs for different output levels to develop its expansion path. Various production functions and the resulting cost functions are presented as examples.
Perfectly Competitive Market: Basic Concepts and AssumptionsArambamSophia
The PPT discusses the basic concept of a market in Economics and also the assumptions underlying the perfectly competitive market. It also discusses the concept of costs in the traditional theory of the firm. It is not an advanced lecture and would be useful for those not familiar with the basics. The reference is 'Modern Microeconomics' by Koutsoyiannnis'
The document discusses various cost concepts in economics including:
- Opportunity cost is the next best alternative use of a resource.
- Accounting costs include explicit payments, while economic costs also include implicit opportunity costs.
- Total, average, and marginal costs are defined for both the short-run and long-run. In the short-run some costs are fixed while in the long-run all costs are variable.
- Cost curves like AVC, ATC, and MC are U-shaped based on the law of diminishing returns in production. Minimum efficient scale is where long-run average costs are minimized.
Perfect competition is a market structure with many small firms, homogeneous products, perfect information and free entry and exit. In the short run, firms maximize profits where marginal cost (MC) equals marginal revenue (MR). Abnormal profits attract new firms, lowering prices to normal profits when MC equals average cost (AC). Allocative efficiency occurs where MC equals average revenue (AR). In the long run, productive, allocative and profit maximizing efficiencies are achieved at the same output level.
The cost of production/Chapter 7(pindyck)RAHUL SINHA
content
•MEASURING COST: WHICH COSTS MATTER?
•Fixed and variable cost
•Fixed versus sunk cost
•Amortizing Sunk Costs
•Marginal cost
•Average cost
•Determinants of short run cost
•Diminishing marginal returns
•The shapes of cost curves
•The Average–Marginal Relationship
•Costs in a long run
•Cost minimizing input choices
•Isocost lines
•Marginal rate of technical substitution
•Expansion path
•The Inflexibility of Short-Run Production
•Long run average cost
•Economies and Diseconomies of Scale
•The Relationship Between Short-Run and Long-Run Cost
•Break even analysis
Cost refers to the total expenditure incurred by a producer to produce a given level of output. It includes explicit costs, which are cash payments to factors of production, and implicit costs, which are imputed costs of self-owned resources. Total cost is the sum of fixed costs, which do not vary with output, and variable costs, which do vary with output. Marginal cost is the change in total cost from producing one additional unit of output. It is U-shaped, initially decreasing and then increasing, reflecting the law of variable proportions. Average cost is total cost divided by output and is the sum of average fixed cost and average variable cost.
Production Function is a statement of the relationship between a firm’s scarce resources (inputs) and the output that results from the use of these resources.
In mathematical terms, the PF can be expressed as:
Q= f (X1, X2…………Xk) where
Q=output, X1…………Xk=inputs used in the production process
This document discusses cost-volume-profit (CVP) analysis and cost curves. It begins by defining CVP analysis as a technique for studying the relationship between costs, volume, and profit. It then outlines the assumptions of CVP analysis and describes three techniques: contribution analysis, profit-volume ratio analysis, and break-even analysis. The document also discusses average cost (AC), total cost (TC), and marginal cost (MC) curves in both the short-run and long-run, explaining how they are related and their different shapes.
Cost & Production Analysis For MBA Students.pptaviatordevendra
This document discusses key concepts related to production and cost analysis. It defines inputs, fixed and variable inputs, production functions, total product, average product, marginal product, and the law of diminishing marginal returns. It also covers production in the short run and long run, including isoquants, marginal rate of technical substitution, and returns to scale. The document analyzes costs including fixed, variable, and total costs. It discusses average and marginal costs, breakeven analysis, and economies of scale. Finally, it covers long run cost relationships including long run total cost, average cost, and marginal cost curves.
Problem Set 2.pdfProblem Set 2 ECO105 Industrial Organiz.docxwkyra78
Problem Set 2.pdf
Problem Set 2
ECO105 Industrial Organization and Firm Strategy
Professor Michael Noel
University of California San Diego
------
1. A single-product monopolist sells output to two geographically separated markets. Arbitrage is not
possible. The inverse demand curve in market 1 is given by p1 = 8 - q1 and in market 2, it is p2 = 4 -
q2. Note: if you get stuck in one part, move on to the next.)
a. The monopolist currently produces the output at a single plant (called plant "A") with total cost
function C(qA) = 0.5qA
2. Hence qA = q1 + q2 is the total output of the firm (which we can also
call Q). Find the quantities sold in each market, q1 and q2, and total output Q. Find the profits of
the firm. (Hint: this is the basic third degree price discriminating problem. Make sure to
substitute qA out of the problem using the constraint, so that the problem is all in terms of the
two “free” variables, q1 and q2.)
b. (From an old exam.) The monopolist is considering adding a second plant, plant "B". The total
cost function for plant "B" is C(qB) = qB + 0.25qB
2. Hence, if the monopolist purchases the new
plant, her total production is qA + qB = Q, where qA is produced in plant A and qB is produced in
plant B. She then sells Q = q1 + q2 in output, where q1 is sold in market 1 and q2 is sold in market
2. Find the output sold in each market, q1 and q2, the amount of good produced at each plant, qA
and qB, and the total output, Q. Find the profits of the firm in this case. How much is the firm
willing to pay to purchase plant B? (Hint: Do NOT assume that a single plant is matched solely
with a single market! You only know that the total produced equals to the total sold, so q1 + q2 =
qA + qB ( = Q). There are now four quantities to find, q1, q2, qA, qB, but only three of them are
“free variables”, i.e. can be independently chosen. So for example, if you know q1, q2 and qA, it
necessarily determines what qB must be. So set up your profit function initially in terms of all
four quantities and but then use the constraint q1 + q2 = qA + qB to substitute out one of the four.
Which three quantities you keep in the equation is up to you. Then solve for three first order
conditions.)
c. (Challenging.) Assume a new law prohibits price discrimination and requires the monopolist to
charge the same price in both markets. Repeat part a. under this assumption, i.e. only plant A. Has
welfare increased, decreased or remained unchanged relative to part a.? Warning: check to see if
both markets are being served in equilibrium! (You will need to “add” up the two demand curves
– add the q’s, not the p’s! A diagram will help. Watch out for the kinks, it may be that only one
group will be served and it may be that both will be served. At the end it may help to plot your
numerical answer on your graph and make sure it makes sense. For example, if you find both
groups are served, you should be on the segment of the ...
The document discusses different theories of cost, including traditional and modern theories. Under traditional theory, costs are categorized as total, average, and marginal in both the short-run and long-run. Total cost equals total fixed cost plus total variable cost. Average cost depends on average fixed and average variable cost. Marginal cost is the change in total cost from producing one additional unit. In the long-run, all costs are variable. Modern theory proposes cost curves are L-shaped rather than U-shaped as traditionally thought.
This document summarizes key concepts related to supply, production, and cost analysis. It discusses supply analysis including the law of supply and factors that determine elasticity of supply. It also covers market equilibrium and changes in equilibrium. On production, it introduces the meaning of production and production functions. Regarding costs, it outlines different types of costs including private vs social costs, accounting vs economic costs, and short-run vs long-run costs. It also discusses economies of scale and cost-output relationships over the short-run and long-run.
Presented by The Global Peatlands Assessment: Mapping, Policy, and Action at GLF Peatlands 2024 - The Global Peatlands Assessment: Mapping, Policy, and Action
Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...Joshua Orris
Results of geophysics and pneumatic injection pilot tests during 2003 – 2007 yielded significant positive results for injection delivery design and contaminant mass treatment, resulting in permanent shut-down of an existing groundwater Pump & Treat system.
Accessible source areas were subsequently removed (2011) by soil excavation and treated with the placement of Emulsified Vegetable Oil EVO and zero-valent iron ZVI to accelerate treatment of impacted groundwater in overburden and weathered fractured bedrock. Post pilot test and post remediation groundwater monitoring has included analyses of CVOCs, organic fatty acids, dissolved gases and QuantArray® -Chlor to quantify key microorganisms (e.g., Dehalococcoides, Dehalobacter, etc.) and functional genes (e.g., vinyl chloride reductase, methane monooxygenase, etc.) to assess potential for reductive dechlorination and aerobic cometabolism of CVOCs.
In 2022, the first commercial application of MetaArray™ was performed at the site. MetaArray™ utilizes statistical analysis, such as principal component analysis and multivariate analysis to provide evidence that reductive dechlorination is active or even that it is slowing. This creates actionable data allowing users to save money by making important site management decisions earlier.
The results of the MetaArray™ analysis’ support vector machine (SVM) identified groundwater monitoring wells with a 80% confidence that were characterized as either Limited for Reductive Decholorination or had a High Reductive Reduction Dechlorination potential. The results of MetaArray™ will be used to further optimize the site’s post remediation monitoring program for monitored natural attenuation.
Microbial characterisation and identification, and potability of River Kuywa ...Open Access Research Paper
Water contamination is one of the major causes of water borne diseases worldwide. In Kenya, approximately 43% of people lack access to potable water due to human contamination. River Kuywa water is currently experiencing contamination due to human activities. Its water is widely used for domestic, agricultural, industrial and recreational purposes. This study aimed at characterizing bacteria and fungi in river Kuywa water. Water samples were randomly collected from four sites of the river: site A (Matisi), site B (Ngwelo), site C (Nzoia water pump) and site D (Chalicha), during the dry season (January-March 2018) and wet season (April-July 2018) and were transported to Maseno University Microbiology and plant pathology laboratory for analysis. The characterization and identification of bacteria and fungi were carried out using standard microbiological techniques. Nine bacterial genera and three fungi were identified from Kuywa river water. Clostridium spp., Staphylococcus spp., Enterobacter spp., Streptococcus spp., E. coli, Klebsiella spp., Shigella spp., Proteus spp. and Salmonella spp. Fungi were Fusarium oxysporum, Aspergillus flavus complex and Penicillium species. Wet season recorded highest bacterial and fungal counts (6.61-7.66 and 3.83-6.75cfu/ml) respectively. The results indicated that the river Kuywa water is polluted and therefore unsafe for human consumption before treatment. It is therefore recommended that the communities to ensure that they boil water especially for drinking.
Recycling and Disposal on SWM Raymond Einyu pptxRayLetai1
Increasing urbanization, rural–urban migration, rising standards of living, and rapid development associated with population growth have resulted in increased solid waste generation by industrial, domestic and other activities in Nairobi City. It has been noted in other contexts too that increasing population, changing consumption patterns, economic development, changing income, urbanization and industrialization all contribute to the increased generation of waste.
With the increasing urban population in Kenya, which is estimated to be growing at a rate higher than that of the country’s general population, waste generation and management is already a major challenge. The industrialization and urbanization process in the country, dominated by one major city – Nairobi, which has around four times the population of the next largest urban centre (Mombasa) – has witnessed an exponential increase in the generation of solid waste. It is projected that by 2030, about 50 per cent of the Kenyan population will be urban.
Aim:
A healthy, safe, secure and sustainable solid waste management system fit for a world – class city.
Improve and protect the public health of Nairobi residents and visitors.
Ecological health, diversity and productivity and maximize resource recovery through the participatory approach.
Goals:
Build awareness and capacity for source separation as essential components of sustainable waste management.
Build new environmentally sound infrastructure and systems for safe disposal of residual waste and replacing current dumpsites which should be commissioned.
Current solid waste management situation:
The status.
Solid waste generation rate is at 2240 tones / day
collection efficiently is at about 50%.
Actors i.e. city authorities, CBO’s , private firms and self-disposal
Current SWM Situation in Nairobi City:
Solid waste generation – collection – dumping
Good Practices:
• Separation – recycling – marketing.
• Open dumpsite dandora dump site through public education on source separation of waste, of which the situation can be reversed.
• Nairobi is one of the C40 cities in this respect , various actors in the solid waste management space have adopted a variety of technologies to reduce short lived climate pollutants including source separation , recycling , marketing of the recycled products.
• Through the network, it should expect to benefit from expertise of the different actors in the network in terms of applicable technologies and practices in reducing the short-lived climate pollutants.
Good practices:
Despite the dismal collection of solid waste in Nairobi city, there are practices and activities of informal actors (CBOs, CBO-SACCOs and yard shop operators) and other formal industrial actors on solid waste collection, recycling and waste reduction.
Practices and activities of these actor groups are viewed as innovations with the potential to change the way solid waste is handled.
CHALLENGES:
• Resource Allocation.
Epcon is One of the World's leading Manufacturing Companies.EpconLP
Epcon is One of the World's leading Manufacturing Companies. With over 4000 installations worldwide, EPCON has been pioneering new techniques since 1977 that have become industry standards now. Founded in 1977, Epcon has grown from a one-man operation to a global leader in developing and manufacturing innovative air pollution control technology and industrial heating equipment.
Improving the viability of probiotics by encapsulation methods for developmen...Open Access Research Paper
The popularity of functional foods among scientists and common people has been increasing day by day. Awareness and modernization make the consumer think better regarding food and nutrition. Now a day’s individual knows very well about the relation between food consumption and disease prevalence. Humans have a diversity of microbes in the gut that together form the gut microflora. Probiotics are the health-promoting live microbial cells improve host health through gut and brain connection and fighting against harmful bacteria. Bifidobacterium and Lactobacillus are the two bacterial genera which are considered to be probiotic. These good bacteria are facing challenges of viability. There are so many factors such as sensitivity to heat, pH, acidity, osmotic effect, mechanical shear, chemical components, freezing and storage time as well which affects the viability of probiotics in the dairy food matrix as well as in the gut. Multiple efforts have been done in the past and ongoing in present for these beneficial microbial population stability until their destination in the gut. One of a useful technique known as microencapsulation makes the probiotic effective in the diversified conditions and maintain these microbe’s community to the optimum level for achieving targeted benefits. Dairy products are found to be an ideal vehicle for probiotic incorporation. It has been seen that the encapsulated microbial cells show higher viability than the free cells in different processing and storage conditions as well as against bile salts in the gut. They make the food functional when incorporated, without affecting the product sensory characteristics.
Climate Change All over the World .pptxsairaanwer024
Climate change refers to significant and lasting changes in the average weather patterns over periods ranging from decades to millions of years. It encompasses both global warming driven by human emissions of greenhouse gases and the resulting large-scale shifts in weather patterns. While climate change is a natural phenomenon, human activities, particularly since the Industrial Revolution, have accelerated its pace and intensity
Kinetic studies on malachite green dye adsorption from aqueous solutions by A...Open Access Research Paper
Water polluted by dyestuffs compounds is a global threat to health and the environment; accordingly, we prepared a green novel sorbent chemical and Physical system from an algae, chitosan and chitosan nanoparticle and impregnated with algae with chitosan nanocomposite for the sorption of Malachite green dye from water. The algae with chitosan nanocomposite by a simple method and used as a recyclable and effective adsorbent for the removal of malachite green dye from aqueous solutions. Algae, chitosan, chitosan nanoparticle and algae with chitosan nanocomposite were characterized using different physicochemical methods. The functional groups and chemical compounds found in algae, chitosan, chitosan algae, chitosan nanoparticle, and chitosan nanoparticle with algae were identified using FTIR, SEM, and TGADTA/DTG techniques. The optimal adsorption conditions, different dosages, pH and Temperature the amount of algae with chitosan nanocomposite were determined. At optimized conditions and the batch equilibrium studies more than 99% of the dye was removed. The adsorption process data matched well kinetics showed that the reaction order for dye varied with pseudo-first order and pseudo-second order. Furthermore, the maximum adsorption capacity of the algae with chitosan nanocomposite toward malachite green dye reached as high as 15.5mg/g, respectively. Finally, multiple times reusing of algae with chitosan nanocomposite and removing dye from a real wastewater has made it a promising and attractive option for further practical applications.
ENVIRONMENT~ Renewable Energy Sources and their future prospects.tiwarimanvi3129
This presentation is for us to know that how our Environment need Attention for protection of our natural resources which are depleted day by day that's why we need to take time and shift our attention to renewable energy sources instead of non-renewable sources which are better and Eco-friendly for our environment. these renewable energy sources are so helpful for our planet and for every living organism which depends on environment.
Peatland Management in Indonesia, Science to Policy and Knowledge Education
Natural Reso cha 3-1.pptx
1. Chapter 3:Efficiency, property rights,
market failure and the environment
1
3.1 Efficiency, discounting and
intergenerational equity
2. Efficiency
2
• Efficiency: Maximization of Total Net Benefit
• An allocation of resources is said to be efficient
– If the net benefit from the use of resources is
maximized by that allocation.
– If it is not possible to reallocate resources to
make one or more persons better off without
making at least one other person worse off →
Pareto optimality
– Conversely, an allocation is inefficient if it is
possible to reallocate resources that can lead to
improvement in someone's position without
worsening the position of anyone else → lack of
Pareto optimality
• A gain by one or more persons without anyone else
loosing is known as a Pareto improvement.
3. 3
Static versus dynamic efficiency
I) Static efficiency
• Static allocation of resources:
– Refers to allocations of resources in a single time period.
– Time is not an important consideration in static allocation
of resources.
– The assumption is that the allocation in one period does
not affect allocations in the next period or the periods
thereafter.
• Static efficiency:
– The chief normative criterion for choosing among various
allocations when time is not an important consideration.
– An allocation satisfies the static efficiency criterion if it
maximizes the net benefits from all possible uses of the
resource.
Net benefit (NB) = Total benefit (TB) - Total cost (TC)
4. 4
• How do we measure benefits and
costs?
Measuring benefits
• Benefits can be derived from the (market)
demand curve.
• Demand curves measure the amount of a
particular good people/consumers would
be willing to buy at various prices.
5. • Demand curves are down sloping reflecting the inverse relationship
between price and quantity demand.
• Consumers buy less of a commodity (or environmental service) the
higher is its price.
• That is, diminishing willingness-to-pay leads to a downward sloping
demand curve
P3 < P2 < P1
0 q3
q1
P3
P1
P2
Demand curve
q2 Q
P
5
6. 6
Marginal and total benefit
Marginal benefit
• For each quantity purchased, the corresponding point on
the demand curve represents the price (P) or the marginal
willingness to pay (MWTP) people/consumers are willing
to pay for the last unit of the good.
• MWTP is the concept used to define marginal benefit
(MB).
i.e. P = MWTP = MB
– The MB/MWTP for q1
th units is the price of q1 units, P1.
– The MB/MWTP for q2
th units is the price of q2 units, P2.
– The MB/MWTP for q3
th units is the price of q3 units, P3.
• Thus, the height of the demand curve measures marginal
benefit (MB).
7. 7
Total benefit
• Total willingness to pay (TWTP) is equal to the area
under the demand curve from the origin to the allocation
of interest.
• TWTP is the concept used to define total benefits (TB),
i.e., TWTP = TB
– TWTP/TB for q1 units is the area under the demand
curve between zero and q1 units.
– TWTP/TB for q2 units is the area under the demand
curve between zero and q2 units.
– TWTP/TB for q3 units is the area under the demand
curve between zero and q3 units.
• Thus, the area under the demand curve measures total
benefit (TB)
• The total willingness to pay for q3 units of the good is
measured by the sum of the willingness to pay for q1, q2
and q3 units, respectively, i.e.
– TWTP for q3 = TWTP for q1 + TWTP for q2 + TWTP for q3
8. Measuring costs
0 q3
q2
q1 Q
• Measuring costs involves logic similar to measuring total benefits.
• Costs can be derived from the (market) supply curve.
• Supply curves measure the amount of a particular good
people/producers would be willing to supply at various prices.
P
P3 < P2 < P1
Supply curve
P1
P2
P3
8
9. • In purely competitive markets, the supply curve is identical to the
marginal opportunity cost curve.
• The marginal opportunity cost curve defines the additional cost of
producing the last unit.
• The law of diminishing returns (increasing costs) leads to an
upward supply curve.
Marginal and total cost
• For each quantity supplied, the corresponding point on the
supply curve represents the marginal cost (MC) of the last unit of
the good.
• In purely competitive markets, price is equal to MC, i.e., P = MC.
– The MC of q th units is the price of q units, P .
1 1 3
– The MC of q th units is the price of q units, P .
2 2 2
– The MC of q th units is the price of q units, P .
3 3 1
• Thus, the height of the supply curve measures marginal cost
(MC). 9
10. • Total cost (TC) is the sum of the marginal costs.
• Geometrically, total costs are equal to the area under the
supply curve from the origin to the allocation of interest.
– The TC of producing q1 units of the good is the area
under the supply curve between zero and q1 units.
– The TC of producing q2 units of the good is the area
under the supply curve between zero and q2 units.
– The TC of producing q3 units of the good is the area
under the supply curve between zero and q3 units.
• Thus, the area under the supply curve measures total cost
(TC)
• The total cost of producing q3 units of the good is given by
the sum of the cost of producing q1, q2 and q3 units,
respectively, TC of q3 = TC of q1 + TC of q2 + TC of q3
• Geometrically, the total cost of producing q3 units of the good
is the area under the marginal cost curve (supply curve) from
zero to q3 units, i.e. the shaded area in the figure.
10
11. • In a perfectly competitive market:
– All consumers face a common market price, and adjust their
consumption until their marginal utility (marginal benefit = MB) is
equal to that price.
– Each firm faces the same fixed market price, and adjusts its output
so that its marginal cost (MC) of production equals that price. So we
have: P=MC=MB
Equilibrium
A
c
b
P
a P3 < P2 < P1
0 q*
P*
Demand
curve
Q
Supply curve
B
C
11
12. • In purely competitive markets, static efficiency is obtained at
the point of equilibrium (the intersection of D and S), i.e.,
point b in the figure.
• Equilibrium price = P* ; Equilibrium quantity = q*
• Total benefit (TB):
– Total consumers' willingness to pay for q* units of the good
– The area below the demand curve between zero and
q*units of the good
– Area 0abq*= A + B + C
• Total cost (TC):
– The area below the supply curve between zero and q*units
of the good
– Area 0cbq*= C
• Total benefit (TB) is greater than total cost (TC):
– Net benefit (NB) = TB - TC
= 0abq*(A + B + C) - 0cbq*(C)
= acb (A + B)
13. • The market equilibrium quantity or allocation (q*)
is efficient, i.e., maximizes net benefit.
• Any position to the left or to the right of the
equilibrium results in a lower net benefit.
• That is, an allocation other than the equilibrium
allocation is inefficient.
• In other words, it is not possible to increase the
net benefit by producing more or less than q*
units of the good.
• Thus, static efficiency is achieved (net benefits
are maximized) when the marginal benefits
(MB) from an allocation equal the marginal
costs (MC), i.e. MB =MC or P = MC. Note that
P = MB = MWTP.
14. Who gets the net benefit?
• It is shared between consumers and producers
• Consumers' share of the net benefit = consumers' surplus
• Producers' share of the net benefit = producers' surplus
• Consumer Surplus: Total benefit minus cost of purchasing the
good, or the area under the demand curve and above the price
line.
– Total benefit (TB) at q* level of output=Area 0abq*= A + B + C
– Cost of purchasing q* level of output = Area 0P*bq*= B + C
– Consumers surplus = 0abq*- 0P*bq* = P*ab, or
= (A + B + C) - (B + C) = areaA
• Producer Surplus: Revenue minus Total Cost, or the area
under the price line and above the supply curve.
– Revenue at q* level of output=Area 0P*bq*= B + C
– Total cost of q* level of output = Area 0cbq*= C
– Producers' surplus = 0P*bq* - 0cbq*= cP*b, or
= (B + C) - (C) = area B
• Thus, NB = Consumers' surplus + Producers' surplus
15. • Efficient allocations are Pareto optimal.
• An allocation is said to be Pareto optimal if no
reallocation of resources could benefit any
person without lowering the net benefits for at
least one other person.
• Since net benefits are maximized by an
efficient allocation, it is not possible to
increase the net benefit by rearranging the
allocation.
• In other words, reallocation of resources
cannot lead to Pareto improvement, i.e., it is
not possible to make one or more persons
better off without making at least one other
person worse off.
16. Exercise:
Suppose the demand function for a product is ,
and the marginal cost of producing it is
, where P is the price of the product and q
is the quantity of the product demanded and/or
supplied.
(a)How much of the product would be supplied
in a static efficient allocation?
(b) Compute the efficient price and quantity?
(c)What would be the magnitude of the net
benefit at the efficient level of allocation?
(d) Compute consumer and producer surplus.
q100.5P
MC 3q
17. Dynamic (intertemporal) efficiency
• Dynamic (intertemporal) allocation of resources: refers
to allocations of resources overtime
• Static efficiency criterion (i.e. P = MC or MB = MC) is very
useful for comparing resource allocations when time is not
an important factor.
• However, in many cases resource allocation involves
decision making over time.
• Decisions made now have implications for the consumption
and production possibilities available in the future.
• When time is involved and decisions are interdependent
over time, the decisions are dynamic in nature (and more
complex).
Example: a hypothetical demand schedule for oil.
• Assumptions:
• There are only 20 barrels of oil in stock
• The marginal cost of extraction (MCE) of oil is constant: $2
per barrel, for all levels of oil extraction
18. Price
per
barrel
$
Quantity
demanded
barrels
MC of
extraction
$
8.00 0 2
7.60 1 2
6.00 5 2
5.60 6 2
5.20 7 2
4.80 8 2
4.40 9 2
4.00 10 2
3.60 11 2
2.00 15 2
0.00 20 2
Example: a hypothetical
demand schedule for oil.
Assumptions:
-There are only 20
barrels of oil in stock
-The marginal cost of
extraction (MCE) of oil
is constant: $2 per
barrel, for all levels of
oil extraction
19. Static solution:
• Static efficiency criterion: Extract that quantity
of oil for which P=MEC. (Note that MC is
replaced by MEC, the marginal extraction
cost).
• The efficient level of oil extraction would be
15 barrels.
• If we heed to the static solution, 15 barrels
should be extracted this period, leaving only
5 barrels for the future. (There is no
enough stock to allow extraction of 15
barrels each period.)
• Is this a good allocation over time? Static
models wouldn’t tell us. We need a
dynamic model to work this out.
20. • Now, assume that:
• The 20 barrels of oil in stock can be used in two time
periods: Period 0 (now) and Period 1 (future).
• The problem: allocating the fixed stock/supply of
the oil between the two years.
• In period 0, if 15 barrels were extracted, price would be
$2 per barrel.
• However, in period 1 the price would shoot to $6,
because there are only 5 barrels available.
• Oil is scarcer in period 1. An allocation this period
affects the net benefit (profitability) in the next period.
• An efficient/optimal allocation over time should,
therefore, maximize the sum of the net benefits
(profits) in the two periods (more precisely the sum
of the present value of the profits in two periods),
given a total stock of 20 barrels.
21. • How can we make choices in a dynamic
decision problem, where benefits and
costs occur at different points in time?
• Time is an important factor in dynamic
analysis.
• Incorporating time into the analysis requires
thinking not only about the magnitude of
benefits and costs, but also about timing.
• In order to incorporate timing, the decision
rule must provide a way to compare the net
benefit received in one period with the net
benefit received in another.
• The concept that allows this comparison is
called present value.
22. Discounting
• Discounting is finding present value.
• Present value explicitly incorporates the time
value of money.
• Is a benefit of $100 received, this period the
same as a benefit of $100 received a year
later? (Do you have any time preference?)
• Birr 100 today invested at 10% interest yields Birr
110 a year from now (the Birr 100 principal plus
Birr 10 interest).
• The present value of Birr 110 received one year
from now is, therefore, Birr 100.
PV = 110/(1+r) = 110/(1+0.10) = 110/(1.1) = 100
• Because, given Birr 100 now, you can turn it
into Birr 110 a year from now by investing it at
10% interest.
23. • Given an annual interest rate of 10%, $110 received a year
from now is only worth $100 today. Therefore, we have to
discount future receipts or expenditures to compare them
with current receipts or expenditures.
The discounting formula:
• The present value of a one-time net benefit B received n
years form now is:
• The present value of a stream of net benefits {B0, …,Bn}
received over a period of n years is computed as
• Where r is the appropriate interest rate and
• Bi is the amount of net benefits received i years from now
• Note: B0 is the amount of net benefits received immediately
• The process of calculating the present value is called
discounting, and the rate r is referred to as the discount rate
(1 r)n
Bn
n
PV [B ]
(1 r)i
PV [B0 ,..., Bn ]
n
i0
Bi
24. 24
• Discounting is a central concept in natural resource economics. It
is a mechanism used to compare streams of net benefits
generated by alternative allocations of resources over time
• Example: Assuming the interest rate is 10%:
• What is the present value (PV) of Birr 100 received immediately
(now)? PV0 = P0/(1+r)0 = 100/1 = 100
• What is the present value (PV) of Birr 100 received a year from
now?
PV1 = P1/(1+r)1 = 100/(1.1)1 = 90.91
• The PV of Birr 100 received two years from now:
PV2 = P2/(1+r)2 = 100/(1.1)2 = 82.64
• The PV of Birr 100 received three years from now:
PV3 = P3/(1+r)3 = 100/(1.1)3 = 75.13
• PV of Birr 1000 received 5 years later at discount rate of 10%:
r=10%, n=5 years, FV=$1000.
PV = 1000/(1.1)5 = 620.92
• The present value of B dollars delivered 10 years from now at r
annual rate of interest: PV(B) = B/(1+r)10
25. Exercise:
• Assuming r=10%, choose between receiving a one
time payment of Birr 1000000 ten years from now and
Birr 385543.3 this year.
• Suppose you win a lottery! You are awarded after-tax
income of Birr 1 M. However, this is not handed to you
all at once, but at Birr 100000 a year for 10 years
starting from the current year. If r=10%,
– What is the PV of the flow of your income?
– Indicate your choice between receiving the flow of
Birr 1 M over 10 years and Birr 675900 today.
• Suppose that the excavation of a mine is expected to
yield a stream of net benefits: say, $50,000 a year
from now, $60,000 two years from now, $40,000 three
years from now, $30,000 four years from now and
$20000 five years from now. Assuming a 10% annual
rate of interest, compute the PV of the stream of
benefits provided by the mine.
28. Dynamic Efficiency
• The criterion used to find an efficient allocation
when time is involved is called dynamic efficiency.
• An allocation of resources across n time periods
satisfies the dynamic efficiency criterion if it
maximizes the present value of net benefits that
could be received from all the possible ways of
allocating those resources over the n periods.
• Dynamic efficiency assumes that society’s objective
is to balance the current and subsequent uses of
the resources by maximizing the present value of
the net benefit derived from the use of the resource
29. Example: Consider a simple model to define
an efficient allocation of a depletable
(nonrenewable) resource.
Assumptions:
• The resource can be used in n time periods
• The marginal cost of extracting the resource
is constant: C per unit.
• There is a fixed supply of the resource to
allocate between the n periods: total supply is
Q units.
• The demand for the resource is linear and
constant over time: It is given by Pt= a – bqt
29
30. How do we determine the dynamic efficient
allocation?
• Total supply of the resource:
• According to the dynamic efficiency criterion, the
efficient allocation is the one that maximizes the
present value of the net benefit. The present value
of the net benefit for the n years is simply the sum
of the present values in each of the n years.
• The inverse demand equation in year t:
Pt= a – bqt
• The total cost of extracting any amount qt:
TCt = Cqt
n
t 0
Q qt
31. Where d is a constant term
• Net Benefit: NBt TBt TC
• Present value of NBt:
• Total Benefit:
• Area below the demand curve from zero to the
allocation of interest (qt)
• Proceed by integration (the reverse of
differentiation)
qt
t
t
0
TB (abq )dq qt
t
aq
b 2
d
2
t
t
t d Cq
b
2
aq q
2
2 t
t
t
(1r)
t
a q
b
q
2
d C q
t
PV(NB )
32. • Efficient dynamic allocation is one that maximizes
the present value of net benefits over time. The
sum of the present value of net benefits over
time is given by:
Maximize the sum of the present value of net
benefits over time.
• Let Z = the sum of the present value of net
benefits over time.
n
t
t
t
t 0
a q
b
q
2
d C q
(1 r)t
2
33. • Subject to a constraint: Supply constraint
• Applying the Lagrange method:
n t
t
t
MaxZ
t0
aq
b
q2
d Cq
(1 r)t
2
Q
n
qt
t0
n
2
n
t0
t
(Qq )
t
t
(1r)t
L
t0
aq
b
q
2
dCq
34. • First order conditions (FOCs):
• The FOCs yield solutions for prices, quantities and
s for the n periods.
Example: Consider a depletable (nonrenewable)
resource
• The resource can be used in only two time periods:
year 0 and 1
• There is a fixed supply of the resource to allocate
between the two years: 20 units
L
a bqt
t
c
0
q (1 r)t
t
t 0
L
Q
n
q 0
35. • The demand for the resource is linear and
constant over time:
It is given by Pt
• Marginal cost of extraction is constant: Birr 2 per
unit.
Inverse demand curve:
•
• Year 1:
Where:
= price in year 0
=quantity extracted in year 0
=quantity extracted in year 1
P1 = price in year 1
8 0.4qt
Year 0: P0 80.4q0
P
1 80.4q1
P0
q0
q1
36. Total cost:
Year 0:
• PV(NB0): Present value of the net benefit for
year 0
TC0 2q0
Year 1: TC1 2q1
• Total and Net benefit
0 0
0 (80.4q )dq
• Year 0: TB qd
2
0
0
2
8q
0.4
0
0
8q 0.2q2
d
NB TB TC
0 0 q
Where d is a constant term
• NB0: net benefit for year 0
2
0
0 d2q
8q 0.2
(1 r)0
NB0
0
PV(NB )
37. • Year 1:
• PV(NB1): Present value of the net benefit for year 1
Maximize the sum of present value of net benefits in
the two years.
(1.1)
0
0
0
0
8q 0.2q
2
d 2q
0
2
0
0 d2q
8q 0.2q
1 1
1
TB (80.4q )dq d
q
2
1
1
8q
0.4
2
d
q
2
1
1
8q 0.2
NB1 TB1 TC1 1
Where d is a constant term
• NB1: net benefit for year 1
2
1
1 q d 2q
8q 0.2
NB1
1
PV (NB )
1
2
1
(1.1)1
1 d 2q
8q 0.2q
(1 r)1
1.1
1
2
1
1 q
q d2
8q 0.2
38. • Let Z = the sum of PV of NBs in the two years
0
2
0
0 d2q
Z 8q 0.2q 1
2
1
(1.1)1
q d 2q
8q 0.2
1
1
• Maximize Z subject to the constraint:
Q qt
t 0
Qq0 q1
20q0 q
1
• Applying the Lagrange method:
0
2
0
0 d2q
L8q 0.2q 1
2
1
(1.1)1
1
8q 0.2q
1
0
d 2q (20q q )
41. Exercise
Assume that there is a well-functioning competitive market
for a certain resource. The demand for the resource, which
is the
corresponding price. The marginal cost of extracting it
is constant and equal to Birr 50. It is assumed that the firm
will extract the mineral for only two periods – the present
period, referred to as year 1 and the next period year 2. It
is also assumed that there is a fixed supply of 295 tons of
the mineral available for both periods, and that the
discount rate is 10%.
is linear and stable over time, is given by Pt 4 5 0 qt
where qt is quantity extracted in time t and Pt
42. (a)In a dynamically efficient allocation, how
much of the mineral would be allocated to
the first period and how much to the
second period? (4 points)
(b)Compute the efficient price in the two
periods. (2 points)
(c ) What would the actual (undiscounted)
marginal user cost be in each period (3
points)
44. • Property right refers to
4
4
a bundle of
entitlements defining the rights,
owner’s
for use
privileges, and limitations
resource.
of the
vested
• Property rights can be
individuals, a group or the state.
with
Efficient property right structure
• An efficient (well-defined) property rights
structure has four main characteristics:
– Universality / comprehensive
– Exclusivity,
– Transferability
– Enforceability
45. 4
5
• Universality / comprehensive
– All resources are either privately or collectively
owned and all entitlements are defined, well
known and enforced.
– Ownership is an essential precondition to trade
or exchange
• Exclusivity
– All benefits and costs from use of a resource
accrue to the owner, and only to the owner,
either directly or indirectly by sale to others. This
applies to both private and common property
resources.
– Others should not have competing rights to the
same resource.
46. 4
6
• Transferability
– All property rights should be transferable from one
owner to another in a voluntary exchange
– Transferable by way of lease, sale or bequest.
• Enforceability
– Property rights should be secure from involuntary
seizure or encroachment by others.
– There must be trust on the legal system to protect
property rights
• An owner of a resource with a well-defined
property right has a powerful incentive to use
that resource efficiently, since a decline in the
value of the resource represents a personal
loss
47. 4
7
Market failure
• In a perfectly competitive market,
– Market allocations and efficient allocations coincide so
that net benefit is maximized.
– i.e., Market equilibrium is efficient
• A perfectly competitive market has the following
properties:
i. Well-defined property rights
There are well-defined and enforceable property
rights that define the ownership of resources,
goods, and services so that buyers and sellers can
exchange these assets freely.
ii. No externalities exist
The action of one agent (a producer or consumer)
does not cause any external effect (benefit or cost)
on parties external to the transactions.
48. 4
8
iii. All agents are price-takers.
- There are many producers and consumers.
- Producers and consumers are small relative to
the market and thus cannot influence prices.
Instead, they maximize profits or utility taking
market price as given.
IV. Information is symmetric between buyers and
sellers.
- Producers and consumers have full knowledge of the
prices, quality, availability and location of goods and
services.
• Transaction costs are zero
– Transaction costs include:
• Information costs
• Contacting costs
• Enforcement costs
49. 4
9
• If these conditions were to exist, a market
allocation of resources would be an efficient
allocation (i.e. Pareto optimal).
• In practice, some of the conditions for perfectly
competitive market are not satisfied.
– In such cases, the economy will be
characterized by market failure and markets will
not allocate resources efficiently.
• Market failure - An inefficient allocation of
resources produced by a market economy when
one or more of the conditions for a perfectly
competitive market is not met.
• There are instances in which market failure can
occur
50. 5
0
3.3 Externalities
• An externality exists whenever the welfare of
some agent, either a firm or a household,
depends directly, not only on his or her
activities, but also on activities under the control
of some other agent as well.
• Externalities may be related to production or
consumption activities.
production decision of one agent affect
• Production externalities occur when the
the
production possibilities of another agent.
• Consumption externalities occur when the
consumption decision of one agent affect the
utility of another agent.
51. 5
1
There are two types of externalities:
• Externalities (external effects) may be beneficial or
adverse.
i) An external economy (external benefit, positive
externality)
– Exists when the activities of one agent make another
agent better off.
– Example: - Vaccination against an infectious disease.
- Bee keeping and apple field (pollination of
blossom)
ii)External diseconomies (external cost, negative
externality)
– Exists when the activity of one agent makes another
agent worse off.
– Example: - Noise pollution from radio playing in a
park
– A factory polluting river with a fishery downstream
52. in the transaction.
Externalities:
– Occur in an unintended way
– Violate the exclusivity characteristic of an efficient
property right structure
– Are not transmitted accurately through a market
• Those who benefit from positive externalities
do not pay for them
• The producers of negative externalities make
no compensation to the affected party.
The Consequence of Externalities
• Economists make a distinction between private
costs and external costs.
– Private costs are borne by someone involved in
the transaction.
– External costs are borne by someone not involved
53. • The same distinction is made between private and
external benefits.
– Social costs = private costs + external costs
– Social benefits = private benefits + external benefits
(i) External diseconomies
• Suppose a steel mill and a resort hotel are located by a
river.
• The steel firm uses the river as a receptacle for its
waste, while the hotel uses it to attract customers
seeking water recreation.
• The steel firm doesn't bear the cost of reduced business
at the hotel resulting from the waste it dumps into the
river.
• Since the firm doesn't take into account the external cost
in its decision-making, it is expected to dump too much
waste into the river.
• Hence, an efficient allocation of the resource (the river)
would not be attained. 11
54. •
A
MPB=MSB
B
Q
MSC (MPC + EC)
P
P
P’
MPC
q’ q
Social and Private Equilibrium
• MPB – Marginal private benefit
• MPS – Marginal social benefit
• MPC – Marginal private costs
• MSC – Marginal social cost
• EC - External cost
55. • q – privately optimal level of activity
(production)
• q’- socially optimal level of activity
(production)
• The demand for steel is shown by
MPB=MSB.
• The supply of the product (excluding the
external cost) is given by MPC
• In the presence of negative externality:
– MSC > MPC (the difference is MEC - marginal
external cost)
– the privately optimal level of output exceeds
the socially optimal one (i.e. q > q’)
56. Conclusion:
• The output (of the polluting product) is too
large
• Too much pollution is produced
• The price of the product responsible for
the pollution is too low
• As long as the costs are external, there is
no incentive to reduce pollution
• Recycling and reuse of the polluting
substances are discouraged since their
release into the environment is cheap
57. (ii) External economies (positive externality)
B
A
MSB
MPB
q q’
Q
P
P’
P
MPC = MSC
Social and Private Equilibrium
MPB – Marginal private benefit
MSB – Marginal social benefit
MPC – Marginal private costs
MSC – Marginal social cost
q – privately optimal level of activity (output)
q’ – socially optimal level of activity (output)
58. • The supply of the product is given by MPC=MSC
• The demand for the product (excluding the
external benefit) is given by MPB.
• In the presence of positive externality:
• MSB > MPB (the difference is MEB - marginal
external benefit)
• the privately optimal level of output is lower than
the socially optimal one (i.e. q < q’).
Conclusion:
• The output (of the product that generates
external benefit) is too low
• The price of the product that generates external
benefit is too high
59. Pecuniary externalities
• arise when the external effect is transmitted
through higher prices.
• Suppose that a new firm moves into an area
and drives up the rental price of land.
• That increase creates a negative effect on all
those paying rent and, therefore, is an external
diseconomy.
• This pecuniary diseconomy, however, does not
cause a market failure because the resulting
higher rents are reflecting the scarcity of land.
• The land market provides a feedback
mechanism.
60. • The pollution example is not a pecuniary
externality because the effect is not
transmitted through prices.
• That is, prices do not adjust to reflect the
increasing waste load.
• The scarcity of the water resource is not
signaled to the steel firm.
• An essential feedback mechanism that is
present for pecuniary externalities is not
present for the pollution case
61. 3.4 Public goods
• A public good is a good or service whose
consumption is non- rival (indivisible) and non-
excludable
Non-rivalry in consumption
• Consumption is said to be non-rival (indivisible)
when one person's consumption does not
diminish the amount available to others.
• This characteristic of a public good implies joint
consumption possibilities, i.e. a public good can
be consumed by several individuals
simultaneously without diminishing the value of
consumption to any one of the individuals.
62. Non-excludability in consumption
• Consumption is said to be non-excludable when an
individual cannot be prevented/excluded from
consuming the good or service whether or not the
individual pays for it.
• This characteristic of a public good implies high
exclusion costs, i.e. it is very costly to prevent an
individual from consuming a public good even when
the individual fails to pay for it.
• Thus, once it is provided, a public good is accessible to
all.
Examples of public good include:
– Fresh air
– A public park
– Charming landscape (a beautiful view)
– National defense
63. Can the market provide the efficiently level of
public goods?
• No! The market provision of public goods tends to
be inefficient.
• Inefficiency results because each person is able to
become a free rider.
• Due to the consumption indivisibility (non-rivalry)
and non-excludability properties of public good,
individuals have the incentive to free ride, or to not
pay for the benefits they receive from consuming
the public good.
• With a free-rider problem, private firms cannot
earn sufficient revenues from selling the public
good to induce them to produce the efficient
(socially optimal) level of the public good.
• Thus, markets often undersupply public goods.
64. Improperly Designed Property Rights Systems
• Private property is not the only possible way of defining
entitlements to resource use. Other property rights
regimes include:
– State-property regimes
– Common-property regimes
– Open access resources (Res nullius)
State-property regimes
• State property is a regime in which the government
owns and controls the property.
• It exists not only in former communist countries but also
to varying degrees in all countries of the world.
– For example, parks and forests are frequently owned
and managed by the government in capitalist as well
as socialist countries.
• Efficiency and sustainability problems can arise in state-
property regimes since the incentives of bureaucrats
who implement and/or make the rules for resource use
may diverge from collective interests. 22
65. Common-property regimes
• Common property refers to property owned in common
rather than privately.
• Property right is held by a specified group of co-owners
and excludes those not in the group.
• The group of owners jointly own and manage the
property.
• Thus, common property is a property rights regime in
which the rights of access, withdrawal, management and
exclusion are held in common by a group of owners.
• Rights to use common – property resources may be
formal, protected by specific legal rules involving the
use of the resource (e.g., specific share agreements in
certain fisheries).
• Common property rights may also be informal,
protected by tradition and custom (e.g. in some
agrarian communities customary procedures govern the
use and management of pasture lands).
23
66. • Common- property resources may possibly be
allocated efficiently
– if the group of owners are small and can set up a system
of rules, and
– if there is social sanctions against breaking rules by any
one of them.
• On the other hand, common-property resources are
allocated inefficiently
– if there is no well-defined system of rules governing the
use of the resources or if the number of owners is large.
– Even if the group of owners is small and can set up a
system of rules, every one of them has the incentive to
break the rules unless there are social sanctions against
it.
• Moreover, population pressure and the infusion of
outsiders raise the demand for common-property
resources and undermine collective decision making
significantly that the rules became unenforceable,
producing overexploitation of the resource 24
67. Open access resources (Res nullius)
• Open access property is a property rights regime in
which no entity holds recognized access,
withdrawal, management, exclusion, or alienation
rights to a resource.
• Open access thus represents lack of property rights
or ownership of any kind.
• Open access property resource can be exploited on
a first-come, first-served basis, because no
individual or group has the legal power to restrict
access.
• Rival but non-excludable resources are considered
as open access or common pool resources.
– Examples: unregulated fisheries or grazing
lands
68. • In the presence of open access, markets cannot
by themselves allocate resources efficiently.
• In the presence of sufficient demand, open
(unrestricted) access causes resources to be
overexploited.
• Unlimited access destroys the incentive to
conserve.
• An individual exploiting an open-access
resource would not have any incentive to
conserve because benefits derived from
restraint (conservation) would, to some extent,
be exploited by others.
• Open access to resources thus promotes an
inefficient allocation.
69. commons”.
Tragedy of the commons
• Open access leads to the most serious problems in natural
resource use popularly known as the “tragedy of the commons”.
• Hardin (1968) presented an argument that suggests that
overexploitation of a resource shared by many parties is
inevitable.
• This argument is termed 'the tragedy of the commons' and it
states that each individual with access to a commonly shared
(open access) resource will try to maximize his own gain from
the resource, and management of the resource to maximize
long-term yield will not be possible.
• Every individual harvesting an open-access resource does not
take into account the cost he imposes (in terms of reduced
productivity of the resource) on others (the community) who are
also harvesting the resource.
• The cost of individual behavior is borne by the whole community,
but the benefits accrue to individuals.
• Every individual will thus try to take as much resource as
possible, and the resource will be exhausted (destroyed).
• Such an outcome is referred to as the “tragedy of the
70. by hunters to harvest (hunt) buffalo.
Example: Buffalo hunting
• Consider a buffalo harvesting (hunting)
activity in a certain park/village.
• The total revenue or benefit (TR/TB) and total
cost (TC) of the hunting activity are depicted
in Figure 1(a).
• The related average revenue (AR), marginal
revenue (MR), average cost (AC) and
marginal cost (MC) of the hunting activity are
also shown in Figure 1(b).
• Two different levels of harvest effort (E1 and
E2) are shown in the Figure, where harvest
effort refers to the time and effort expended
71. and effort expended by hunters to harvest (hunt) buffalo.
71
Example: Buffalo hunting
• The problem created by open-access resources can be
illustrated by considering open access buffalo haunting.
• Open access resources are characterized by
nonexclusivity and divisibility/rivalry.
• Nonexclusivity implies that resources can be exploited by
anyone while divisibility/rivalry means that the capture of
part of the resource by someone reduces the amount
available to others.
• Consider a buffalo harvesting (hunting) activity in a certain
park/village. The total revenue or benefit (TR/TB) and total
cost (TC) of the hunting activity are depicted in Figure
1(a).
• The related average revenue (AR), marginal revenue
(MR), average cost (AC) and marginal cost (MC) related
to the hunting activity are also shown in Figure 1(b).
• Two different levels of harvest effort (E1 and E2) are
shown in the Figure, where harvest effort refers to the time
72. Figure 1 (a): Buffalo harvesting - Relationship between TR and TC
30
Harvest
Effort
F
MR
C
D
Average cost (AC)
Marginal cost (MC)
B
A
AR
AC = MC
0 E1 E2
TR/TB
TC
Total revenue (TR /TB)
Total cost (TC)
Harvest
Effort
Figure 1 (b): Buffalo harvesting: Relationship between AR, MR, AC, and MC
Average revenue (AR)
Marginal revenue (MR)
MR
73. • The efficient level of hunting activity (effort) is E1.
• E1 is the level of effort where the marginal benefit
(marginal revenue) curve crosses the marginal cost curve.
• At this level of harvest/hunting the marginal benefits would
equal the constant marginal cost implying that net benefits
would be maximized.
• Owner/owners with exclusive right would apply this level of
effort (E1) and earn scarcity rent (TR-TC) from the
resource
• Under open access (with all hunters having unrestricted
access to the buffalo) the resulting allocation would not be
efficient.
• Open-access hunters without exclusive rights would exploit
the resource until their total benefit equaled total cost,
implying a level of effort equal to E2.
74. • At this level of effort, over exploitation of the
herd occurs and the scarcity rent dissipates
• No individual hunter would have an incentive to
protect scarcity rent by restricting hunting effort.
• Since individual hunters cannot appropriate the
scarcity rent, they ignore it.
• Two characteristics of open-access allocation:
(1)In the presence of sufficient demand,
open/unrestricted access will cause resources
to be overexploited and
(2)The scarcity rent is dissipated; no one
appropriates the rent, so it is lost