Explanation Given: The given conditions are, 3 x + 5 y ≤ 78 4 x + y ≤ 36 x ≥ 0 , y ≥ 0 Approach: 1. If all the entries are nonnegative, the optimal solution has been reached. 2. If there are one or more negative entries, the optimal solution has not been reached. Calculation: Consider the given equations. P = 5 x + 4 y Introduce the slack variables, u , v and rewrite the objective function in the standard form that gives the system of linear equation as follows, 3 x + 5 y + u = 78 4 x + y + v = 36 − 5 x − 4 y + P = 0 The initial simplex tableau is as follows, x y u v P Constant 3 5 1 0 0 78 4 1 0 1 0 36 − 5 − 4 0 0 1 0 Some of the elements in the last row are negative, so it is not in final form. Select the pivot row, pivot element and column for further simplification. Apply the row operation R 1 → 1 3 R 1 . x y u v P Constant 1 5 3 1 3 0 0 26 4 1 0 1 0 36 − 5 − 4 0 0 1 0 Apply the row operation R 2 → R 1 − 4 R 1 and R 3 → R 3 + 5 R 1

Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th

11th Edition

ISBN: 9781285845722

Author: Tan, Soo T.

Publisher: Cengage Learning

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Chapter 4.1, Problem 20E

To determine

To maximize:

The objective functions P=5x+4y by the simplex method.

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Chapter 4.1, Problem 19E

Chapter 4.1, Problem 21E

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Chapter 4 Solutions

Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th

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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To maximize: The objective functions P = 5 x + 4 y by the simplex method.

Solution Summary: The author explains how to maximize the objective functions P=5x+4y by the simplex method.

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To maximize:

The objective functions P=5x+4y by the simplex method.

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Chapter 4 Solutions

To maximize: The objective functions P = 5 x + 4 y by the simplex method.

Solution Summary: The author explains how to maximize the objective functions P=5x+4y by the simplex method.

Videos

To maximize: The objective functions P=5x+4y by the simplex method.

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Chapter 4 Solutions

To maximize:

The objective functions P=5x+4y by the simplex method.