Consider a cost-benefit-trade-off problem having the following data. a. Formulate a linear programming model for this problem

Question:

Consider a cost-benefit-trade-off problem having the following data.

Benefit Contribution per Unit of Each Activity Minimum Acceptable Level Benefit 2 60 2 2 30 3 126 $60 $50 Unit cost

a. Formulate a linear programming model for this problem on a spreadsheet.
b. Use the spreadsheet to check the following solutions: (x1, x2) = (7, 7), (7, 8), (8, 7), (8, 8), (8, 9), (9, 8). Which of these solutions are feasible? Which of these feasible solutions has the best value of the objective function?
c. Use Solver to find an optimal solution.
d. Express the model in algebraic form.
e. Use the graphical method to solve this model.

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a c b x 1 x 2 Feasible C 77 No 78 No 87 No 88 Yes 880 Best 89 ...View the full answer

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Related Book For book-img-for-question

Introduction to Operations Research

ISBN: 978-1259162985

10th edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

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Question Posted: Mar 13, 2018 08:23 AM

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Consider a cost-benefit-trade-off problem having the following data. a. Formulate a linear programming model for this problem

Question:

Benefit Contribution per Unit of Each Activity Minimum Acceptable Level Benefit 2 60 2 2 30 3 126 $60 $50 Unit cost

Step by Step Answer:

a c b x 1 x 2 Feasible C 77 No 78 No 87 No 88 Yes 880 Best 89 ...View the full answer

Introduction to Operations Research

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