1 DEFINITION OF LINEAR PROGRAMMING (LP) Linear programming (LP) is a mathematical technique used in finding the best possible allocation of resources to achieve the best outcome‚ which is maximising profit or minimising cost. However‚ it is only applicable where there is a linear relationship between the variables. For example‚ the linear relationships between hours of labour and output in a textiles factory means an increase or decrease in labour force has a direct impact on production‚ which
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TUTORIAL 2 Linear Programming - Minimisation Special cases Simplex maximisation 1. Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client’s needs. For a new client‚ Innis has been authorised to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs
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EM 505 - Decision Models‚ Fall 2012 Homework 3 - December 10-11‚ 2012 1. The diagram below depicts a system of aqueducts that originate at three rivers (nodes R1‚ R2 and R3) and terminate at a major city (node T) where the other nodes are junction points in the system. Using units of thousands of acre feet‚ the tables below show the maximum amount of water that can be pumped through each aqueduct per day and the following diagram shows the network of the system. From/To A R1 75 R2 40 R3 B 65 50
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REVISED M09_REND6289_10_IM_C09.QXD 5/12/08 12:01 PM Page 115 9 C H A P T E R Linear Programming: The Simplex Method TEACHING SUGGESTIONS Teaching Suggestion 9.1: Meaning of Slack Variables. Slack variables have an important physical interpretation and represent a valuable commodity‚ such as unused labor‚ machine time‚ money‚ space‚ and so forth. Teaching Suggestion 9.2: Initial Solutions to LP Problems. Explain that all initial solutions begin with X1 ϭ 0‚ X2 ϭ 0 (that
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Brittany Asay MGMT 650 Chapters 3 & 4 Homework Problems May 14‚ 2013 Chapter 3: 13. Refer to the computer solution of Problem 12 in Figure 3.17. a. Identify the range of optimality for each objective function coefficient. E: 47.5-75 S: 87-126 D: there is no lower limit until 159 b. Suppose the profit for the economy model is increased by $6 per unit‚ the profit for the standard model is decreased by $2 per unit‚ and the profit for the deluxe model is increased by $4 per unit. What will
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Assignment 2 (CCMA) Solution 1: Refer attached excel sheets for all the four parts. The answers are marked in RED in Excel sheet. I) Enterprise value of digital = $3‚738‚409‚979.20 II) (a) Total value = 6‚753‚044‚375.39 (b) Value of control = $3‚014‚634‚396.19 III) Enterprise value of Compaq = $39‚429‚435‚518.34 IV) (a) Unlevered beta for year 1-5 = 1.1 Unlevered beta after year 5 = 0.8 (b) Equity beta
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BMT 1814 ASSIGNMENT 1 SEMESTER 1 SESSION 2012/2013 MULTIMEDIA UNIVERSITY FACULTY OF MANAGEMENT SEMESTER 1 SESSION 2012/2013 BMT 1814 MANAGERIAL MATHEMATICS ASSIGNMENT 1 SUBMISSION Submission: Latest on 28th July 2012 This assignment will contribute 25% of the overall assessment for this course. It is an individual assignment. Please submit this assignment to the administrative office of FOM (opened on each Saturday). Late submission will lose marks at the rate of 1% of the overall mark
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Managerial Decision Modeling w/ Spreadsheets‚ 3e (Balakrishnan/Render/Stair) Chapter 2 Linear Programming Models: Graphical and Computer Methods 2.1 Chapter Questions 1) Consider the following linear programming model: Max X12 + X2 + 3X3 Subject to: X1 + X2 ≤ 3 X1 + X2 ≤ 1 X1‚ X2 ≥ 0 This problem violates which of the following assumptions? A) certainty B) proportionality C) divisibility D) linearity E) integrality Answer: D Page Ref: 22 Topic: Developing a Linear Programming Model Difficulty:
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MAT 540 Quiz 4 1.___________is maximized in the objective function by subtracting cost from revenue Profit Revenue Cost Productivity 2. In a media selection problem‚ instead of having an objective of maximizing profit or minimizing cost‚ generally the objective is to maximize the audience exposure True False 3. Media selection is an important decision that advertisers have to make. In most media selection decisions‚ the objective of the decision maker is to minimize cost. True False 4. The
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Week 9 Quiz 5: 1. In a _______ integer model‚ some solution values for decision variables are integer and others can be non-integer. a. total b. 0 – 1 c. mixed d. all of the above 2. In a total integer model‚ some solution values for decision variables are integer and others can be non-integer. TRUE/FALSE 3. In a problem involving capital budgeting applications‚ the 0-1 variables designate the acceptance or rejection of the different projects. TRUE/FALSE 4. If a maximization
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