Test Bank for Chapter 4 Problem 4-1: Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 2x3‚ subject to 5x1 + 2x2 + 3x3 ≤ 15 x1 + 4x2 + 2x3 ≤ 12 2x1 + x3 ≤ 8 and x1 ≥ 0‚ x2 ≥ 0‚ x3 ≥ 0. Solution for Problem 4-1: We introduce x4‚ x5‚ and x6 as slack variables for the respective functional constraints. The augmented form of the problem then is Maximize Z = x1 + 2 x2 + 2 x3‚ subject to
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2) A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours‚ and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1‚ while on line 2‚ product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit‚ and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis. 6)
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Chapter 3 Modeling & Solving LP Problems In A Spreadsheet 1. In general‚ it does not matter what is placed in a variable (changing) cell. Ultimately‚ Solver will determine the optimal values for these cells. If the model builder places formulas in changing cells‚ Solver will replace the formulas with numeric constants representing the optimal values of the decision variables. An exception to this general principle is found in Chapter 8 where‚ when solving nonlinear programming problems‚ the
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INDIVIDUAL ASSIGNMENT (MDM) Management Decision Making Deadline: 19 Oct 2014 Tarmac Chemical Corporation produces a special chemical compound—called CHEMIX—that is used extensively in high school chemistry classes. This compound must contain at least 20% sulfur‚ at least 30% iron oxide‚ and at least 30% but no more than 45% potassium. Tarmac’s marketing department has estimated that it will need at least 600 pounds of this compound to meet the expected demand during the coming school session
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Question 1 0 out of 2 points Product mix problems cannot have "greater than or equal to" (≥) constraints. Answer Selected Answer: True Correct Answer: False Question 2 0 out of 2 points Fractional relationships between variables are permitted in the standard form of a linear program. Answer Selected Answer: True Correct Answer: False Question 3 2 out of 2 points In a media selection problem‚ instead of having an objective of maximizing profit or minimizing
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Cory Maillet Krisandra Horn Quain Lawn and Garden‚ Inc. Case Analysis After a false retirement Bill and Jeanne Quain realized their destined action in the plant and shrub business. The need for a high-quality commercial fertilizer prompted the innovation of a blended fertilizer called “Quain-Grow”. Working with chemists at Rutgers University‚ a mixture was constructed from four compounds‚ C-30‚ C-92‚ D-21 and E-11. The costs for these four compounds per pound is as follows: CHEMICAL COMPOUND COST
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Chapter 8 Linear Programming Applications To accompany Quantitative Analysis for Management‚ Eleventh Edition‚ Global Edition by Render‚ Stair‚ and Hanna Power Point slides created by Brian Peterson Copyright © 2012 Pearson Education 8-1 Learning Objectives After completing this chapter‚ students will be able to: 1. Model a wide variety of medium to large LP problems. 2. Understand major application areas‚ including marketing‚ production‚ labor scheduling‚ fuel blending‚ transportation‚ and
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Chapter 4 Linear Programming Applications in Marketing‚ Finance and Operations Management Learning Objectives 1. Learn about applications of linear programming that have been encountered in practice. 2. Develop an appreciation for the diversity of problems that can be modeled as linear programs. 3. Obtain practice and experience in formulating realistic linear programming models. 4. Understand linear programming applications such as:
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SQQM1023 Managerial Mathematics Semester 2 Session 2012/2013 GROUP ASSIGNMENT 1 ANSWER ALL QUESTIONS IN PART A AND B. Part A 1. Given the function Find i) ii) iii) iv) Domain . 2. Determine the domain for the following functions: 3. Mega Company plans to market a new product for RM18.50 per unit. The variable cost is RM14 per unit and the fixed cost is RM2200. Assuming is the quantity of the product: i) ii) iii) 4. Find the total cost function‚ . Find
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decision time Decision making is an important aspect of the Paper F5 syllabus‚ and questions on this topic will be common. The range of possible questions is considerable‚ but this article will focus on only one: linear programming. The ideas presented in this article are based on a simple example. Suppose a profit-seeking firm has two constraints: labour‚ limited to 16‚000 hours‚ and materials‚ limited to 15‚000kg. The firm manufactures and sells two products‚ X and Y. To make X‚ the firm uses
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