Explanation Given: Maximize P = 2 x + y − 2 z subjected to x + 2 y + z ≥ 10 3 x + 4 y + 2 z ≥ 5 2 x + 5 y + 12 z ≤ 20 x ≥ 0 , y ≥ 0 , z ≥ 0 Calculation: Consider the given linear programming problem. Maximize P = 2 x + y − 2 z subjected to x + 2 y + z ≥ 10 3 x + 4 y + 2 z ≥ 5 2 x + 5 y + 12 z ≤ 20 x ≥ 0 , y ≥ 0 , z ≥ 0 Write the relation between maximization and minimization, P = − C Here, P is the objective for maximization problem and C is the objective for minimization problem. So, to make a minimization problem a maximization problem we need to change all greater than equal to signs to less than equal to signs with exceptions of x ≥ 0 , y ≥ 0 and z ≥ 0

Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition

11th Edition

ISBN: 9781285464657

Author: Soo T. Tan

Publisher: Brooks Cole

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Chapter 4.3, Problem 4E

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The inequalities of the form ≤a constant as maximization problem for the linear programming problem.

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Chapter 4 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition

Ch. 4.1 - Give the three characteristics of a standard...Ch. 4.1 - a. When the initial simplex tableau is set up, how...Ch. 4.1 - In the simplex method, how is a pivoted column...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-16, determine whether the given...

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The inequalities of the form ≤ a constant as maximization problem for the linear programming problem.

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