The project has 8 activities with normal and crash durations and costs provided. The contract time is 20 days with a penalty of 300 LE/day for delays.
To meet the contract time, activities XE, YC, and ZA need to be crashed. Crashed costs are 1140 LE, 1470 LE, and 770 LE to finish in 23, 22, and 21 days respectively. The optimal plan is to crash for 1140 LE to finish in 20 days as required.
After a site update on day 5, the project is expected to finish in 22 days. Activities Y and Z are already complete. Crashing activity D for 1000 LE and activity B for 700 LE, for a
The document presents a cash flow analysis for a construction project with 10 activities over 10 periods. It includes tables showing activity costs by day, total costs by period, cash outflows by period from costs, and cash inflows by period from payments. It then calculates payments for each period based on costs, retention rate, profit margin, and down payment. Graphs of cumulative cash outflows and inflows are presented, showing the maximum negative cash flow and indicating a final profit of 4410 LE.
This document contains technical information and calculations for a structural engineering project. It includes section properties, bending properties, and other metrics like area, moments of inertia, section moduli, centroids, radii of gyration, and perimeter for the cross section of a structural element. The client and software used are also listed.
This document contains information about income tax rates (ISR) in Mexico. It lists tax rates that range from 0.01% to 35% applied to different levels of taxable income. It also includes a fixed tax amount that is added to the marginal tax for certain income levels. The document provides details on calculating individual income tax, including tax credits for employment.
transporation problem - stepping stone methodoragon291764
The stepping stone method is used to determine an optimal solution to a transportation problem. It involves tracing closed paths or loops through occupied cells in the transportation table, and calculating improvement indices to test for optimality. The method gets its name from the analogy of crossing a pond by stepping on stones. It involves iteratively improving a feasible solution until all improvement indices are greater than or equal to zero, indicating an optimal solution has been reached.
This document discusses three network concepts:
1) Minimum spanning tree - the shortest way to connect all points in a network. It finds the minimum total distance to connect all nodes.
2) Maximum flow - the maximum amount of flow that can pass from the source to the destination node or sink. It finds the largest amount that can travel through the network.
3) Minimum distance - not described, but the document focuses on explaining minimum spanning trees and maximum flow.
STRESS ANALYSIS OF AN ISOTROPIC MATERIALRohit Katarya
This document presents the results of a finite element analysis of a block subjected to loading and temperature changes. Key points:
- The block has dimensions of 30x20x10mm and its corners are tracked with coordinates before and after loading.
- MATLAB is used to calculate displacements, stresses, strains, and principle stresses/strains at midpoints of each edge with and without temperature effects.
- Results are presented for displacement coefficients, stresses, strains, and change in octahedral stress at each edge as temperature increases from 0-25°C.
- The effect of a 20°C temperature change on octahedral stress is analyzed and compared for the bottom front edge and top rear edge.
The document contains a past exam for a Microwave Engineering course. It includes 3 questions:
1) A design procedure question for a microstrip line power divider in 1-2 sentences.
2) A question involving the design and analysis of a quadrature hybrid circuit, including calculating scattered voltage waves from port excitations.
3) A brief explanation of the usage of scattering matrices in electromagnetic problems.
The project has 8 activities with normal and crash durations and costs provided. The contract time is 20 days with a penalty of 300 LE/day for delays.
To meet the contract time, activities XE, YC, and ZA need to be crashed. Crashed costs are 1140 LE, 1470 LE, and 770 LE to finish in 23, 22, and 21 days respectively. The optimal plan is to crash for 1140 LE to finish in 20 days as required.
After a site update on day 5, the project is expected to finish in 22 days. Activities Y and Z are already complete. Crashing activity D for 1000 LE and activity B for 700 LE, for a
The document presents a cash flow analysis for a construction project with 10 activities over 10 periods. It includes tables showing activity costs by day, total costs by period, cash outflows by period from costs, and cash inflows by period from payments. It then calculates payments for each period based on costs, retention rate, profit margin, and down payment. Graphs of cumulative cash outflows and inflows are presented, showing the maximum negative cash flow and indicating a final profit of 4410 LE.
This document contains technical information and calculations for a structural engineering project. It includes section properties, bending properties, and other metrics like area, moments of inertia, section moduli, centroids, radii of gyration, and perimeter for the cross section of a structural element. The client and software used are also listed.
This document contains information about income tax rates (ISR) in Mexico. It lists tax rates that range from 0.01% to 35% applied to different levels of taxable income. It also includes a fixed tax amount that is added to the marginal tax for certain income levels. The document provides details on calculating individual income tax, including tax credits for employment.
transporation problem - stepping stone methodoragon291764
The stepping stone method is used to determine an optimal solution to a transportation problem. It involves tracing closed paths or loops through occupied cells in the transportation table, and calculating improvement indices to test for optimality. The method gets its name from the analogy of crossing a pond by stepping on stones. It involves iteratively improving a feasible solution until all improvement indices are greater than or equal to zero, indicating an optimal solution has been reached.
This document discusses three network concepts:
1) Minimum spanning tree - the shortest way to connect all points in a network. It finds the minimum total distance to connect all nodes.
2) Maximum flow - the maximum amount of flow that can pass from the source to the destination node or sink. It finds the largest amount that can travel through the network.
3) Minimum distance - not described, but the document focuses on explaining minimum spanning trees and maximum flow.
STRESS ANALYSIS OF AN ISOTROPIC MATERIALRohit Katarya
This document presents the results of a finite element analysis of a block subjected to loading and temperature changes. Key points:
- The block has dimensions of 30x20x10mm and its corners are tracked with coordinates before and after loading.
- MATLAB is used to calculate displacements, stresses, strains, and principle stresses/strains at midpoints of each edge with and without temperature effects.
- Results are presented for displacement coefficients, stresses, strains, and change in octahedral stress at each edge as temperature increases from 0-25°C.
- The effect of a 20°C temperature change on octahedral stress is analyzed and compared for the bottom front edge and top rear edge.
The document contains a past exam for a Microwave Engineering course. It includes 3 questions:
1) A design procedure question for a microstrip line power divider in 1-2 sentences.
2) A question involving the design and analysis of a quadrature hybrid circuit, including calculating scattered voltage waves from port excitations.
3) A brief explanation of the usage of scattering matrices in electromagnetic problems.
The document contains a list of 20 math word problems involving solving linear equations for the variable x. Each problem is presented along with the solution step and the value of x. The problems cover a range of different linear equation types including addition, subtraction, multiplication, and division of the variable x.
The document contains engineering drawings showing isometric and section views of duct work and structural components at different scales. It details five hoop sections labeled A through E and notes that all hoop and linear channels are 41x83x2.5mm slotted metal pieces. Modules M11, M08 and M10 are also referenced along with their dimensions and fire rating status.
The document contains calculations to select appropriate beams and columns for a compressor maintenance structure. It provides bending moment calculations for different sections of beams labeled A through F. It also calculates the moment of inertia, maximum bending moment, and tensile strength required for different C-channel beam profiles. Finally, it includes calculations to determine the compressive load capacity of a column with given dimensions.
This document compares the fixed and variable costs of delivering video conferences with different participant numbers. It shows that as the number of participants increases from 5 to 10 to 20, the total costs increase due to higher variable costs for equipment, programs, transmission, and support staff, despite some economies of scale. The average cost per participant initially decreases but then increases with more participants due to the higher total costs outweighing the larger number of participants sharing those costs.
Curvature-based blending of closed planar curvesTeseo Schneider
A common way of blending between two planar curves is to linearly interpolate their signed curvature functions and to reconstruct the intermediate curve from the interpolated curvature values. but if both input curves are closed, this strategy can lead to open intermediate curves. we present a new algorithm for solving this problem, which finds the closed curve whose curvature is closest to the interpolated values. our method relies on the definition of a suitable metric for measuring the distance between two planar curves and an appropriate discretization of the signed curvature functions.
The document summarizes the development of a simplex wave winding for a 13 slot, 4-pole DC armature with 13 commutator slots. It provides the data for the armature as s=13, p=4, c=13. It then calculates the winding parameters as y=14, Yb=7, Yf=7, z=26. It includes a table showing the top and bottom coil sides and develops the full winding configuration.
The document summarizes the simplex method for solving linear programming problems involving maximization. It involves 12 steps: 1) Formulating the LPP, 2) Introducing slack, surplus and artificial variables, 3) Formulating the initial basic solution, 4) Constructing the initial simplex table, 5) Checking for positive elements in the Cj-Zj row, 6) Identifying the incoming basic variable, 7) Choosing the incoming basic variable if multiple positives exist, 8) Identifying the outgoing basic variable, 9) Constructing the next simplex table using row operations, 10) Completing the new simplex table, 11) Repeating steps 5-10, and 12) Terminating when the
A publisher has contracted an author to produce a textbook. The production process involves the author submitting a manuscript and files, editing, sample page and cover design, artwork, formatting, and printing. The critical path through the network is the author submitting the manuscript, editing, formatting, artwork approval, plate production, and binding, taking 17 weeks total to complete the project.
This flowchart outlines an optimization process to find an optimal solution. It starts with finding an initial basic solution, then checks if that solution is optimal. If it is optimal, that solution is the final answer. If not, the process seeks a better solution to try and find the optimal one.
The document outlines a strategic management model that includes four main stages: strategic intent, formulation, implementation, and evaluation. It involves analyzing internal and external environments to determine a vision, mission, goals and objectives. Strategies are then formulated, implemented through resource allocation and structure, and evaluated for effectiveness with feedback into reformulation.
The document presents a linear programming problem to determine the optimal production mix for two products (P1 and P2) that maximizes profit. The products have different processing times and resource requirements on milling and drilling machines, which have limited weekly hours. The problem is formulated as a linear program to maximize total profit subject to the machine hour constraints. Slack variables are introduced and the problem is solved using the simplex method to find the optimal production levels of 50 units of P1 and 20 units of P2, yielding maximum profit of Rs. 20,500.
This document presents a linear programming problem involving assigning quality inspectors to minimize total inspection costs. There are two types of inspectors (Grade I and Grade II) with different inspection rates and accuracy. The objective is to minimize total costs based on wages, inspection pieces, and error costs with constraints on minimum inspection pieces and available inspectors.
This document formulates a linear programming problem to determine the optimal production quantities of Products P1 and P2 given machine time and contribution margin constraints. Product P1 takes 4 hours on machine M1 and 2 hours on M2, while Product P2 takes 2 hours on M1 and 4 hours on M2. The objective is to maximize total contribution by choosing the quantities x1 and x2 subject to the 60 hours available on M1, 48 hours on M2, and non-negativity constraints.
The document describes a production problem involving two products (P1 and P2) that are manufactured using two machines (M1 and M2). P1 requires 4 hours on M1 and 2 hours on M2, while P2 requires 2 hours on M1 and 4 hours on M2. The goal is to determine the optimal quantities of P1 and P2 to maximize total contribution, given 60 hours available on M1 and 48 hours on M2. This problem is modeled as a linear programming problem and graphically solved by plotting the constraint lines and finding their intersection point.
The document contains information about game theory including pure strategies, mixed strategies, and solving games. It provides examples of games represented as payoff matrices and discusses applying the principles of dominance, algebraic methods for 2x2 games, graphical methods for 2xn and mx2 games, and linear programming for mxn games. It also includes an example analyzing a 6x6 game modeling the Allied invasion of Normandy in WWII.
Four teams will participate in a game involving selecting strategies of A or B. The aim is to score the maximum dividends. Scoring is based on the number of As and Bs selected. The document then explains the Prisoner's Dilemma game theory concept where two prisoners can either cooperate or betray each other, and discusses why rational individuals may not cooperate even if it is in their best interest to do so.
The document discusses how to formulate the dual of a primal linear programming problem. It provides 10 steps for converting a primal maximization problem into a dual minimization problem. As an example, it formulates the dual of the primal problem: Maximize z = -5x1 + 2x2 subject to x1 - x2 ≥ 2 and 2x1 + 3x2 ≤ 5, with non-negativity constraints. The dual is formulated as: Minimize z = -2y1 + 5y2 subject to -y1 + 2y2 ≥ -5 and y1 + 3y2 ≥ 2, with non-negativity constraints on the dual variables y1 and y2.
A finance manager is considering drilling a well on their property. Based on past data, there is a 70% chance of finding water at 20 meters depth, and a 20% chance of finding water between 20-25 meters if no water is found at 20 meters. The costs to drill are Rs.500 per meter plus Rs.15,000 to buy water externally if the well is not drilled. The optimal decision tree strategy is to first drill to 20 meters, and if no water, then drill further to 25 meters, resulting in an expected cost of Rs. 11,350.
The grocer must decide how many cases of milk to stock for tomorrow's demand. Each case sold yields a profit of Rs.3, but unsold cases at the end of the day lose Rs.5. Historical demand data shows the number of cases demanded and the probability of each quantity. The optimal decision can be determined by calculating the expected monetary value (EMV) of stocking different quantities of milk based on the probabilities and outcomes. The expected profit for the grocer if they stock the quantity with the highest EMV is Rs.47.7.
The document contains a list of 20 math word problems involving solving linear equations for the variable x. Each problem is presented along with the solution step and the value of x. The problems cover a range of different linear equation types including addition, subtraction, multiplication, and division of the variable x.
The document contains engineering drawings showing isometric and section views of duct work and structural components at different scales. It details five hoop sections labeled A through E and notes that all hoop and linear channels are 41x83x2.5mm slotted metal pieces. Modules M11, M08 and M10 are also referenced along with their dimensions and fire rating status.
The document contains calculations to select appropriate beams and columns for a compressor maintenance structure. It provides bending moment calculations for different sections of beams labeled A through F. It also calculates the moment of inertia, maximum bending moment, and tensile strength required for different C-channel beam profiles. Finally, it includes calculations to determine the compressive load capacity of a column with given dimensions.
This document compares the fixed and variable costs of delivering video conferences with different participant numbers. It shows that as the number of participants increases from 5 to 10 to 20, the total costs increase due to higher variable costs for equipment, programs, transmission, and support staff, despite some economies of scale. The average cost per participant initially decreases but then increases with more participants due to the higher total costs outweighing the larger number of participants sharing those costs.
Curvature-based blending of closed planar curvesTeseo Schneider
A common way of blending between two planar curves is to linearly interpolate their signed curvature functions and to reconstruct the intermediate curve from the interpolated curvature values. but if both input curves are closed, this strategy can lead to open intermediate curves. we present a new algorithm for solving this problem, which finds the closed curve whose curvature is closest to the interpolated values. our method relies on the definition of a suitable metric for measuring the distance between two planar curves and an appropriate discretization of the signed curvature functions.
The document summarizes the development of a simplex wave winding for a 13 slot, 4-pole DC armature with 13 commutator slots. It provides the data for the armature as s=13, p=4, c=13. It then calculates the winding parameters as y=14, Yb=7, Yf=7, z=26. It includes a table showing the top and bottom coil sides and develops the full winding configuration.
The document summarizes the simplex method for solving linear programming problems involving maximization. It involves 12 steps: 1) Formulating the LPP, 2) Introducing slack, surplus and artificial variables, 3) Formulating the initial basic solution, 4) Constructing the initial simplex table, 5) Checking for positive elements in the Cj-Zj row, 6) Identifying the incoming basic variable, 7) Choosing the incoming basic variable if multiple positives exist, 8) Identifying the outgoing basic variable, 9) Constructing the next simplex table using row operations, 10) Completing the new simplex table, 11) Repeating steps 5-10, and 12) Terminating when the
A publisher has contracted an author to produce a textbook. The production process involves the author submitting a manuscript and files, editing, sample page and cover design, artwork, formatting, and printing. The critical path through the network is the author submitting the manuscript, editing, formatting, artwork approval, plate production, and binding, taking 17 weeks total to complete the project.
This flowchart outlines an optimization process to find an optimal solution. It starts with finding an initial basic solution, then checks if that solution is optimal. If it is optimal, that solution is the final answer. If not, the process seeks a better solution to try and find the optimal one.
The document outlines a strategic management model that includes four main stages: strategic intent, formulation, implementation, and evaluation. It involves analyzing internal and external environments to determine a vision, mission, goals and objectives. Strategies are then formulated, implemented through resource allocation and structure, and evaluated for effectiveness with feedback into reformulation.
The document presents a linear programming problem to determine the optimal production mix for two products (P1 and P2) that maximizes profit. The products have different processing times and resource requirements on milling and drilling machines, which have limited weekly hours. The problem is formulated as a linear program to maximize total profit subject to the machine hour constraints. Slack variables are introduced and the problem is solved using the simplex method to find the optimal production levels of 50 units of P1 and 20 units of P2, yielding maximum profit of Rs. 20,500.
This document presents a linear programming problem involving assigning quality inspectors to minimize total inspection costs. There are two types of inspectors (Grade I and Grade II) with different inspection rates and accuracy. The objective is to minimize total costs based on wages, inspection pieces, and error costs with constraints on minimum inspection pieces and available inspectors.
This document formulates a linear programming problem to determine the optimal production quantities of Products P1 and P2 given machine time and contribution margin constraints. Product P1 takes 4 hours on machine M1 and 2 hours on M2, while Product P2 takes 2 hours on M1 and 4 hours on M2. The objective is to maximize total contribution by choosing the quantities x1 and x2 subject to the 60 hours available on M1, 48 hours on M2, and non-negativity constraints.
The document describes a production problem involving two products (P1 and P2) that are manufactured using two machines (M1 and M2). P1 requires 4 hours on M1 and 2 hours on M2, while P2 requires 2 hours on M1 and 4 hours on M2. The goal is to determine the optimal quantities of P1 and P2 to maximize total contribution, given 60 hours available on M1 and 48 hours on M2. This problem is modeled as a linear programming problem and graphically solved by plotting the constraint lines and finding their intersection point.
The document contains information about game theory including pure strategies, mixed strategies, and solving games. It provides examples of games represented as payoff matrices and discusses applying the principles of dominance, algebraic methods for 2x2 games, graphical methods for 2xn and mx2 games, and linear programming for mxn games. It also includes an example analyzing a 6x6 game modeling the Allied invasion of Normandy in WWII.
Four teams will participate in a game involving selecting strategies of A or B. The aim is to score the maximum dividends. Scoring is based on the number of As and Bs selected. The document then explains the Prisoner's Dilemma game theory concept where two prisoners can either cooperate or betray each other, and discusses why rational individuals may not cooperate even if it is in their best interest to do so.
The document discusses how to formulate the dual of a primal linear programming problem. It provides 10 steps for converting a primal maximization problem into a dual minimization problem. As an example, it formulates the dual of the primal problem: Maximize z = -5x1 + 2x2 subject to x1 - x2 ≥ 2 and 2x1 + 3x2 ≤ 5, with non-negativity constraints. The dual is formulated as: Minimize z = -2y1 + 5y2 subject to -y1 + 2y2 ≥ -5 and y1 + 3y2 ≥ 2, with non-negativity constraints on the dual variables y1 and y2.
A finance manager is considering drilling a well on their property. Based on past data, there is a 70% chance of finding water at 20 meters depth, and a 20% chance of finding water between 20-25 meters if no water is found at 20 meters. The costs to drill are Rs.500 per meter plus Rs.15,000 to buy water externally if the well is not drilled. The optimal decision tree strategy is to first drill to 20 meters, and if no water, then drill further to 25 meters, resulting in an expected cost of Rs. 11,350.
The grocer must decide how many cases of milk to stock for tomorrow's demand. Each case sold yields a profit of Rs.3, but unsold cases at the end of the day lose Rs.5. Historical demand data shows the number of cases demanded and the probability of each quantity. The optimal decision can be determined by calculating the expected monetary value (EMV) of stocking different quantities of milk based on the probabilities and outcomes. The expected profit for the grocer if they stock the quantity with the highest EMV is Rs.47.7.
A fast food chain wants to build four new stores and received bids from six construction companies. The document shows the bid amounts in a table and describes using the Hungarian method to determine the optimal assignment of companies to stores that minimizes the total cost. The method involves reducing the table through successive steps to reveal a unique solution with no remaining zeros. The result assigns each store to a single construction company to minimize the total cost for building all four stores.
Operations research (OR) is a tool used to increase the effectiveness of managerial decisions. It can help with profit maximization, production management like determining optimal product mix and scheduling, financial management, marketing management, and personnel management. Some common OR models include linear programming, transportation, assignment, and sequencing problems. OR uses mathematical techniques like linear programming, decision theory, game theory, queuing theory, simulation, network analysis, and inventory models.
This document discusses key concepts in project management including activities, predecessors, successors, concurrent activities, events, merges, bursts, and dummy activities. It outlines rules for drawing network diagrams and common errors. It then describes the Critical Path Method (CPM) and Program Evaluation and Review Technique (PERT) and how they are used to plan, schedule, monitor, and control projects. Examples of project types that use CPM and PERT are provided. The document also discusses crashing the project completion time by reducing critical path activities' durations at an increased cost.
Ganpati Kumar Choudhary Indian Ethos PPT.pptx, The Dilemma of Green Energy Corporation
Green Energy Corporation, a leading renewable energy company, faces a dilemma: balancing profitability and sustainability. Pressure to scale rapidly has led to ethical concerns, as the company's commitment to sustainable practices is tested by the need to satisfy shareholders and maintain a competitive edge.
Sethurathnam Ravi: A Legacy in Finance and LeadershipAnjana Josie
Sethurathnam Ravi, also known as S Ravi, is a distinguished Chartered Accountant and former Chairman of the Bombay Stock Exchange (BSE). As the Founder and Managing Partner of Ravi Rajan & Co. LLP, he has made significant contributions to the fields of finance, banking, and corporate governance. His extensive career includes directorships in over 45 major organizations, including LIC, BHEL, and ONGC. With a passion for financial consulting and social issues, S Ravi continues to influence the industry and inspire future leaders.
Public Speaking Tips to Help You Be A Strong Leader.pdfPinta Partners
In the realm of effective leadership, a multitude of skills come into play, but one stands out as both crucial and challenging: public speaking.
Public speaking transcends mere eloquence; it serves as the medium through which leaders articulate their vision, inspire action, and foster engagement. For leaders, refining public speaking skills is essential, elevating their ability to influence, persuade, and lead with resolute conviction. Here are some key tips to consider: https://joellandau.com/the-public-speaking-tips-to-help-you-be-a-stronger-leader/
12 steps to transform your organization into the agile org you deservePierre E. NEIS
During an organizational transformation, the shift is from the previous state to an improved one. In the realm of agility, I emphasize the significance of identifying polarities. This approach helps establish a clear understanding of your objectives. I have outlined 12 incremental actions to delineate your organizational strategy.
Make it or Break it - Insights for achieving Product-market fit .pdfResonate Digital
This presentation was used in talks in various startup and SMB events, focusing on achieving product-market fit by prioritizing customer needs over your solution. It stresses the importance of engaging with your target audience directly. It also provides techniques for interviewing customers, leveraging Jobs To Be Done for insights, and refining product positioning and features to drive customer adoption.
Comparing Stability and Sustainability in Agile SystemsRob Healy
Copy of the presentation given at XP2024 based on a research paper.
In this paper we explain wat overwork is and the physical and mental health risks associated with it.
We then explore how overwork relates to system stability and inventory.
Finally there is a call to action for Team Leads / Scrum Masters / Managers to measure and monitor excess work for individual teams.
Specific ServPoints should be tailored for restaurants in all food service segments. Your ServPoints should be the centerpiece of brand delivery training (guest service) and align with your brand position and marketing initiatives, especially in high-labor-cost conditions.
408-784-7371
Foodservice Consulting + Design
Enriching engagement with ethical review processesstrikingabalance
New ethics review processes at the University of Bath. Presented at the 8th World Conference on Research Integrity by Filipa Vance, Head of Research Governance and Compliance at the University of Bath. June 2024, Athens
A presentation on mastering key management concepts across projects, products, programs, and portfolios. Whether you're an aspiring manager or looking to enhance your skills, this session will provide you with the knowledge and tools to succeed in various management roles. Learn about the distinct lifecycles, methodologies, and essential skillsets needed to thrive in today's dynamic business environment.
Org Design is a core skill to be mastered by management for any successful org change.
Org Topologies™ in its essence is a two-dimensional space with 16 distinctive boxes - atomic organizational archetypes. That space helps you to plot your current operating model by positioning individuals, departments, and teams on the map. This will give a profound understanding of the performance of your value-creating organizational ecosystem.