Explanation The system of inequalities is, 2 x 1 + x 3 ≤ 40 x 1 + x 2 ≥ 18 x 1 + x 3 ≥ 20 Here, the first inequality is less than or equal to type. So, add the slack variable s 1 and rewrite it as 2 x 1 + x 3 + s 1 = 40 . The second inequality is greater than or equal to type. So, subtract the surplus variable s 2 and rewrite it as x 1 + x 2 − s 2 = 18 . The third inequality is greater than or equal to type. So, subtract the surplus variable s 3 and rewrite it as x 1 + x 3 − s 3 = 20 . Combine the above equations after adding slack and subtracting surplus variables and obtain the system of linear equations as follows. 2 x 1 + x 3 + s 1 = 40 x 1 +

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 4E

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To rewrite: The system of inequalities as a system of linear equations by adding slack variables or subtracting surplus variables.

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Chapter 4.4, Problem 3E

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Chapter 4 Solutions

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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To rewrite: The system of inequalities as a system of linear equations by adding slack variables or subtracting surplus variables.

Solution Summary: The author explains the system of inequalities as a linear equations by adding slack variables or subtracting surplus variables.

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Chapter 4 Solutions