The document discusses production functions and laws of production. It explains that production involves transforming inputs like labor (L) and capital (K) into output (Q) according to the function Q=f(L,K). In the short run, one input is variable while the other is fixed, while in the long run both inputs are variable.
The law of variable proportions describes how total product increases at an increasing rate initially as more of the variable input is added with the fixed input held constant, then increases at a diminishing rate, and eventually decreases as diminishing returns set in. The law of returns to scale examines how output changes as a firm varies all inputs proportionately. Firms experience increasing, constant, and
Paul H. Douglas, Professor at the University of Chicago introduced the production function in 1934. Another prominent economist Robert Solow has also conducted extensive research and found out how the technological progress has improved the productivity of inputs, viz., capital and labour in America.
In modern terminology, the various factors like land, labour, capital, organization skill, raw materials and other factors made use of in production are given a wider connotation called inputs. The product realized due to the inputs is called output. Inputs indicate the cost involved in procuring various factors, commodities as raw materials, power, etc., while output indicates the goods and services produced. Production is a process in which the physical inputs are transformed into physical output. The output is thus the function of inputs. The functional relationship between physical inputs and physical outputs of a firm is known as a production function. The production function is a catalogue of output possibilities.
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
Paul H. Douglas, Professor at the University of Chicago introduced the production function in 1934. Another prominent economist Robert Solow has also conducted extensive research and found out how the technological progress has improved the productivity of inputs, viz., capital and labour in America.
In modern terminology, the various factors like land, labour, capital, organization skill, raw materials and other factors made use of in production are given a wider connotation called inputs. The product realized due to the inputs is called output. Inputs indicate the cost involved in procuring various factors, commodities as raw materials, power, etc., while output indicates the goods and services produced. Production is a process in which the physical inputs are transformed into physical output. The output is thus the function of inputs. The functional relationship between physical inputs and physical outputs of a firm is known as a production function. The production function is a catalogue of output possibilities.
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
The basic function of a firm is to produce one or more goods and /or services and sell them in the market.
Production requires employment of various factors of production, which are substitutes among themselves to certain extent.
Thus, every firm has to decide what combination of various factors of production, also called inputs, to choose to produce a certain fixed or variable quantities of a particular good.
The problem is referred to as “ how to produce?”
cost of production / Chapter 6(pindyck)RAHUL SINHA
topics covered
•Production and firm
•The production function
•Short run versus Long run
•Production with one variable input(Labour)
•Average product
•Marginal product
•The slopes of the production curve
•Law of diminishing marginal returns
•Production with two variable inputs
•Isoquant
•Isoquant Maps
•Diminishing marginal returns
•Substitution among inputs
•Returns to scale
•Describing returns to scale
Introduction,Factor of production,Production functions,Types of production functions,Short run,Long run,Iso-quant line,Iso-cost line,Production possibility frontier
Production Function, Law of Variable Proportions, Return to Scale, Comparison between laws of Returns and Returns to Scale, Economies of Scale of Production.
Law of Variable Proportions and Law of Returns to ScaleAyush Parekh
This presentation puts emphasis on
Law of Variable proportion and Law of Returns to Scale
It also puts light on production function, cost function, etc.
The basic function of a firm is to produce one or more goods and /or services and sell them in the market.
Production requires employment of various factors of production, which are substitutes among themselves to certain extent.
Thus, every firm has to decide what combination of various factors of production, also called inputs, to choose to produce a certain fixed or variable quantities of a particular good.
The problem is referred to as “ how to produce?”
cost of production / Chapter 6(pindyck)RAHUL SINHA
topics covered
•Production and firm
•The production function
•Short run versus Long run
•Production with one variable input(Labour)
•Average product
•Marginal product
•The slopes of the production curve
•Law of diminishing marginal returns
•Production with two variable inputs
•Isoquant
•Isoquant Maps
•Diminishing marginal returns
•Substitution among inputs
•Returns to scale
•Describing returns to scale
Introduction,Factor of production,Production functions,Types of production functions,Short run,Long run,Iso-quant line,Iso-cost line,Production possibility frontier
Production Function, Law of Variable Proportions, Return to Scale, Comparison between laws of Returns and Returns to Scale, Economies of Scale of Production.
Law of Variable Proportions and Law of Returns to ScaleAyush Parekh
This presentation puts emphasis on
Law of Variable proportion and Law of Returns to Scale
It also puts light on production function, cost function, etc.
Difference between short run and long runMUHAMMAD RIAZ
short run and long run
Short Run 1: a period of time that is not long enough to allow change to certain economic conditions that a decision maker may face.
Long Run 1: a period of time long enough for all important information and choices to be available to a decision maker
For undergraduate agricultural students of the course ‘Ag. Econ. 6.4 Farm Management, Production, and Resource Economics (2+1)’ of Junagadh Agricultural University, Gujarat and other State Agricultural Universities in India.
Currently pi network is not tradable on binance or any other exchange because we are still in the enclosed mainnet.
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A pi merchant is someone verified by pi network team and allowed to barter pi coins for goods and services.
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Turin Startup Ecosystem 2024 - Ricerca sulle Startup e il Sistema dell'Innov...Quotidiano Piemontese
Turin Startup Ecosystem 2024
Una ricerca de il Club degli Investitori, in collaborazione con ToTeM Torino Tech Map e con il supporto della ESCP Business School e di Growth Capital
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Where can I sell my pi coins at a high rate.
Pi is not launched yet on any exchange. But one can easily sell his or her pi coins to investors who want to hold pi till mainnet launch.
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USDA Loans in California: A Comprehensive Overview.pptxmarketing367770
USDA Loans in California: A Comprehensive Overview
If you're dreaming of owning a home in California's rural or suburban areas, a USDA loan might be the perfect solution. The U.S. Department of Agriculture (USDA) offers these loans to help low-to-moderate-income individuals and families achieve homeownership.
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The European Unemployment Puzzle: implications from population agingGRAPE
We study the link between the evolving age structure of the working population and unemployment. We build a large new Keynesian OLG model with a realistic age structure, labor market frictions, sticky prices, and aggregate shocks. Once calibrated to the European economy, we quantify the extent to which demographic changes over the last three decades have contributed to the decline of the unemployment rate. Our findings yield important implications for the future evolution of unemployment given the anticipated further aging of the working population in Europe. We also quantify the implications for optimal monetary policy: lowering inflation volatility becomes less costly in terms of GDP and unemployment volatility, which hints that optimal monetary policy may be more hawkish in an aging society. Finally, our results also propose a partial reversal of the European-US unemployment puzzle due to the fact that the share of young workers is expected to remain robust in the US.
Poonawalla Fincorp and IndusInd Bank Introduce New Co-Branded Credit Cardnickysharmasucks
The unveiling of the IndusInd Bank Poonawalla Fincorp eLITE RuPay Platinum Credit Card marks a notable milestone in the Indian financial landscape, showcasing a successful partnership between two leading institutions, Poonawalla Fincorp and IndusInd Bank. This co-branded credit card not only offers users a plethora of benefits but also reflects a commitment to innovation and adaptation. With a focus on providing value-driven and customer-centric solutions, this launch represents more than just a new product—it signifies a step towards redefining the banking experience for millions. Promising convenience, rewards, and a touch of luxury in everyday financial transactions, this collaboration aims to cater to the evolving needs of customers and set new standards in the industry.
US Economic Outlook - Being Decided - M Capital Group August 2021.pdfpchutichetpong
The U.S. economy is continuing its impressive recovery from the COVID-19 pandemic and not slowing down despite re-occurring bumps. The U.S. savings rate reached its highest ever recorded level at 34% in April 2020 and Americans seem ready to spend. The sectors that had been hurt the most by the pandemic specifically reduced consumer spending, like retail, leisure, hospitality, and travel, are now experiencing massive growth in revenue and job openings.
Could this growth lead to a “Roaring Twenties”? As quickly as the U.S. economy contracted, experiencing a 9.1% drop in economic output relative to the business cycle in Q2 2020, the largest in recorded history, it has rebounded beyond expectations. This surprising growth seems to be fueled by the U.S. government’s aggressive fiscal and monetary policies, and an increase in consumer spending as mobility restrictions are lifted. Unemployment rates between June 2020 and June 2021 decreased by 5.2%, while the demand for labor is increasing, coupled with increasing wages to incentivize Americans to rejoin the labor force. Schools and businesses are expected to fully reopen soon. In parallel, vaccination rates across the country and the world continue to rise, with full vaccination rates of 50% and 14.8% respectively.
However, it is not completely smooth sailing from here. According to M Capital Group, the main risks that threaten the continued growth of the U.S. economy are inflation, unsettled trade relations, and another wave of Covid-19 mutations that could shut down the world again. Have we learned from the past year of COVID-19 and adapted our economy accordingly?
“In order for the U.S. economy to continue growing, whether there is another wave or not, the U.S. needs to focus on diversifying supply chains, supporting business investment, and maintaining consumer spending,” says Grace Feeley, a research analyst at M Capital Group.
While the economic indicators are positive, the risks are coming closer to manifesting and threatening such growth. The new variants spreading throughout the world, Delta, Lambda, and Gamma, are vaccine-resistant and muddy the predictions made about the economy and health of the country. These variants bring back the feeling of uncertainty that has wreaked havoc not only on the stock market but the mindset of people around the world. MCG provides unique insight on how to mitigate these risks to possibly ensure a bright economic future.
what is the best method to sell pi coins in 2024DOT TECH
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Who is a pi merchant?
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@Pi_vendor_247
how to sell pi coins on Bitmart crypto exchangeDOT TECH
Yes. Pi network coins can be exchanged but not on bitmart exchange. Because pi network is still in the enclosed mainnet. The only way pioneers are able to trade pi coins is by reselling the pi coins to pi verified merchants.
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I will leave the telegram contact of my personal pi merchant to trade with.
@Pi_vendor_247
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what is the future of Pi Network currency.DOT TECH
The future of the Pi cryptocurrency is uncertain, and its success will depend on several factors. Pi is a relatively new cryptocurrency that aims to be user-friendly and accessible to a wide audience. Here are a few key considerations for its future:
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1. Mainnet Launch: As of my last knowledge update in January 2022, Pi was still in the testnet phase. Its success will depend on a successful transition to a mainnet, where actual transactions can take place.
2. User Adoption: Pi's success will be closely tied to user adoption. The more users who join the network and actively participate, the stronger the ecosystem can become.
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2. 2
Production Function
Production: Any activity leading to value
addition –
Transformation of inputs into output
Q= f (L,K)
3. 3
Production Function
Short term : Time when one input (say,
capital) remains constant and an addition
to output can be obtained only by using
more labour.
Long run: Both inputs become variable.
4. 4
Production Function
Production process is subject to various
phases-
Laws of production state the relationship
between output and input.
.
5. 5
Laws of production
Short run :
Relationship between input and output are
studied by varying one input , others being
held constant.
Law of Variable Proportions brings out
relationship between varying proportions
of factor inputs and output
6. 6
Laws of production
Long run:
Production function is subject to different
phases described under the Law of
Returns to Scale
– Studied assuming that all factor inputs are
variable.
7. 7
Law of Variable Proportions
Law of Variable Proportions (Short run Law
of Production)
Assumptions:
• One factor (say, L) is variable and the
other factor (say, K) is constant
• Labour is homogeneous
• Technology remains constant
• Input prices are given
9. 9
Law of Variable Proportions
Panel A
o
Labour
Tot
al
pr
oduct
T
a
t
l
r
P
o
d
Total Product
TPl
TP rises at an increasing rate till
the employment of the 5th
worker.
Beyond the 6th worker until 10th
worker TP increases but rate of
increase begins to fall
TP turns negative from 11th
worker onwards.
This shows Law of Diminishing
Marginal returns
10. 10
Law of Variable Proportions
Panel B
labour
APL
MPL
MPL
Panel B represents
Marginal and average
productivity curves of
labour
AP/MP
11. 11
Law of Variable Proportions
Increasing Returns- Stage I:
TPl increases at an increasing rate.
Fixed factor (K) is abundant and variable
factor is inadequate. Hence K gets utilised
better with every additional unit of labour
12. 12
Stage II- TPl continues to increase but at a
diminishing rate.
stage III- TPl begins to decline –Capital becomes
scarce as compared to variable factor. Hence
over utilisation of capital and setting in of
diminishing returns
Causes of 3 stages: Indivisibility and inelasticity
of fixed factor and imperfect substitutability
between K and L
13. 13
Law of Variable Proportions
Significance of Law of Diminishing Marginal
Returns:
- Empirical law, frequently observed in
various production activities
- Particularly in agriculture where natural
factors (say land), which play an important
role, are limited.
- Helps manager in identifying rational and
irrational stages of operation
14. 14
Law of Variable Proportions
- It provides answers to questions such as:
a) How much to produce?
b) What number of workers (and other
variable factors) to employ in order to
maximize output
In our example, firm should employ a
minimum of 7 workers and maximum of 10
workers (where TP is still rising)
15. 15
Law of Variable Proportions
- Stage III has very high L-K ratio- as a
result, additional workers not only prove
unproductive but also cause a decline in
TPl.
- In Stage I capital is presumably under-utilised.
- So a firm operating in Stage I has to
increase L and that in Stage III has to
decrease labour.
16. 16
Law of Returns to Scale
In the long run, all factors are variable.
• Production can be increased by adding
both L and K.
• Relationship between inputs and output is
depicted in the form of isoquant curves.
• Isoquant curves represent different
combinations of K and L that lead to the
same level of output.
18. 18
Law of Returns to Scale
Isocost line:
• Assume that labour costs Rs.10 per unit and
capital, Rs. 7 per unit.
• Suppose the company has a budget of Rs. 70.
• It can buy 7 units of labour (with no capital), or
10 units of K (with no labour), or some in-between
combination.
• By joining the two extreme points we get an
isocost line
19. 19
Law of Returns to Scale
7
10
X
Isocost
o
Units
of K
Units of L
Y
20. 20
Law of Returns to Scale
Y Producer has a constraint-namely,
B Q2=200
10019
Q1=100
Labour
Y
Capital
X
O
budget.
Producer attains equilibrium
when he reaches highest
attainable level of output.
Q3=300
21. 21
Law of Returns to Scale
• Point of tangency between isoquant and
isocost is the point of least cost
combination of inputs.
• At point B, labour and capital are
combined in a proportion that maximises
the output for a given budget.
22. 22
Law of Returns to Scale
ε = Δq/ q ÷ Δn /n
where
Δq/ q indicates proportionate change in output
Δn /n indicates proportionate change in input
If ε >1, then we have increasing returns to scale
ε =1, then we have constant returns to scale
ε <1, then we have decreasing returns to scale
23. 23
Law of Returns to Scale
Firm is subject to
increasing,
Constant and
Decreasing returns
to scale.
Explanation for these
phases is provided
Through concepts
Called economies
And diseconomies
Of scale.
L K
Expansion
Path
A
B
C
B
D E
F
Q40
Q 20
Q80
Q60
Q100
Q120
X
Y
o
Q140
G
24. 24
ECONOMIES OF SCALE
• ECONOMIES OF SCALE are advantages
enjoyed by a firm from large scale
production.
Causes of increasing returns to scale
• Internal and external
25. 25
INTERNAL ECONOMIES
INTERNAL: Those advantages and
disadvantages that accrue to the firm as a
result of its scale of operation
Indivisibilities- if some of the factors are
indivisible, then it would be technically and
economically undesirable to use the
indivisible factor for a smaller scale of
production e.g., Can’t use a conveyor belt
to unload a small truck, but need one for
unloading a train or ship
26. 26
INTERNAL ECONOMIES
Dimensional economies
• A mere change in the size of capital can
lead to a change in output which is
proportionately more than the cost of
enlarged input. e.g., Doubling the
diameter of a pipeline more than doubles
the water flow without doubling the cost;
doubling the dimensions of a ship more
than doubles its capacity without doubling
costs
27. 27
INTERNAL ECONOMIES
• Specialisation- In large scale production,
a process can be broken into sub
processes - specialised labour and
specialised machines lead to increase in
productivity and decrease in average cost
of production.
• Managerial economies
• Commercial economies-bulk purchases
28. 28
INTERNAL ECONOMIES
• Financial economies -Lower rate of
interest, liberal terms and conditions
because of reputation individual investors
also like to invest money.
• Risk bearing economies:
• Diversification of output, markets and
sources of supply
29. INTERNAL DISECONOMIES
Internal Diseconomies
• Effective supervision no longer possible
• Unwieldy administration and ego clashes
• Industrial unrest
• Problems of re-conversion, storage and
standing costs in case of stoppage of
work or lack of demand
29
30. 30
External Economies of Scale
External Economies of Scale
Arise out of sharing and cooperation
received from other firms in a given
industry.
31. 31
External Economies of Scale
Economies of concentration
• Supply of skilled labour in a region
• Common services
• Specialised institutions like training
schools and research centres (Indian
School of mines in Dhanbad),
• Reputation of a region
32. 32
External Economies of Scale
Economies of Information
• Trade associations, journals, seminars
• Economies of disintegration
• An ancillary firm may specialise in the
production of only one part
• Waste and byproducts of all firms in the
industry may be dealt with by a
specialised firm.
33. External Diseconomies of Scale
33
• As firms expand along with expansion of the
industry, after a point economies turn into
diseconomies
• Excessive concentration leads to bottlenecks
and diseconomies
• Most firms experience these phases but some
continue to defy these laws due to innovations
and technological progress.
34. Economies of Scope
• Lowering of costs that a firm experiences when it
produces more than one product together rather
than each alone
• A smaller airline can profitably extend into cargo
services, thereby lowering the cost of each
service
• Using bye products to make something instead
of throwing it away.
• Management should be alert to such
possibilities.
34
35. Learning Curve
• As a firm gains experience in the production of a
commodity or service, AC often declines.
• Learning Curve shows the decline in the
average input cost of production with the rising
cumulative total output over time.
• Eg, 1000 hours to assemble 100th aircraft, but
only 700 hours to assemble the 200th .as
managers and workers become more efficient
as they gain production experience.
35
37. 37
Case study: Masterji’s Grocery
Shop
Masterji’s shop is very popular and stocks
all kinds of goods- from rice and wheat to
processed food, imported chocolates and
cheese. There is a small section which
has a photocopying machine and a STD
booth. Masterji runs the shop with the help
of his children.
38. 38
Case study: Masterji’s Grocery
Shop
• The family noticed
that the number of
shoppers varied
between times and
days (See table)
• During weekdays,
masterji could
manage with his
children, but not in
week ends.
Morn After
noon
Even
Mon-
Fri
50 40 65
Sat/
Sun
165 85 30
39. 39
Case study: Masterji’s Grocery
Shop
• Sunday morning buyers were ‘ value
crowd’- bulk buyers, spent extra on
something new and attractive but wanted
a pleasant experience and were upset at
the overcrowded shop
• At certain times there were not many
shoppers
40. 40
Case study: Masterji’s Grocery
Shop
• Masterji employed 3 assistants during
week ends, but that did not solve the
problem as the shop had a small floor
area and only one billing machine
1.Can you explain masterji’s problem in
terms of law of variable proportions?
2. Pl. suggest in detail how masterji can
improve the functioning of the shop.
41. 41
Measuring Productivity
• US Bureau of Labor Statistics has been
conducting studies of output per hour in
individual industries as well as overall economy
since 1800s- earlier because of apprehensions
of human labor being displaced- this fear of
unemployment was replaced by concern for
making the most efficient use of labour in 1920s
and 30s- In recent years interest in productivity
measurement and enhancement has grown
because it is recognised as an important
indicator of economic growth.
42. 42
• Labor productivity: Ratio of output per
worker hour. Improvements in worker
productivity
• Multifactor productivity: Output is related
to combined inputs of labor, capital and
intermediate purchases.
• Advances in productivity reflect the ability
to produce more output per input