Explanation Given: Minimize C = 2 x − 3 y − 4 z Subject to − x + 2 y − z ≤ 8 x − 2 y + 2 z ≤ 10 2 x + 4 y − 3 z ≤ 12 x ≥ 0 y ≥ 0 z ≥ 0 Calculation: Minimize C = 2 x − 3 y − 4 z Subject to − x + 2 y − z ≤ 8 x − 2 y + 2 z ≤ 10 2 x + 4 y − 3 z ≤ 12 x ≥ 0 y ≥ 0 z ≥ 0 The initial simplex tableau is, x y z u v w p Constant − 1 2 − 1 1 0 0 0 8 1 − 2 ( 2 ) 0 1 0 0 10 2 4 − 3 0 0 1 0 12 2 − 3 − 4 0 0 0 1 0 Further solve the above equation. x y z u v w p Constant − 1 2 − 1 1 1 0 0 8 1 2 R 2 1 2 − 1 1 0 1 2 0 0 5 2 4 − 3 0 0 1 0 12 2 − 3 − 4 0 0 0 1 0 Further solve the above equation

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 4.2, Problem 5E

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The solution for the minimization problem C=2x−3y−4z

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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 solution for the minimization problem C = 2 x − 3 y − 4 z

Solution Summary: The author explains that the solution to the minimization problem is C=2x-3y-4z.

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