Explanation The minimization linear programming problem is, Minimize : w = y 1 + y 2 + 7 y 3 subject t o : 5 y 1 + 2 y 2 + y 3 ≥ 125 4 y 1 + y 2 + 6 y 3 ≤ 75 6 y 1 + 8 y 2 ≥ 84 with y 1 ≥ 0 , y 2 ≥ 0 , y 3 ≥ 0 . As the given linear programming is of minimization type change the minimization objective function into maximization by taking z = − w . So, the objective function become, Maximize : z = − y 1 − y 2 − 7 y 3 . Note that the constraints in the maximization problem are same as minimization problem. That is, the equivalent maximization problem is as follows. Maximize : z = − y 1 − y 2 − 7 y 3 subject t o : 5 y 1 + 2 y 2 + y 3 ≥ 125

Finite Mathematics and Calculus with Applications (10th Edition)

10th Edition

ISBN: 9780321979407

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 4.4, Problem 8E

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Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 4.1 - Prob. 1YT Ch. 4.1 - Prob. 2YT Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - For Exercises 58, (a) determine the number of...Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E

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The minimization linear programming problem into maximization linear programming problem.

Solution Summary: The author explains that the minimization linear programming problem is, lmathrmMinimize:

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