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Math Finite Mathematics & Its Applications (12th Edition)

Figure 10(b) shows the feasible set of the transportation problem of Example 2 and the straight line of all combinations of shipments for which the transportation cost is $240. (a) The objective function is [ cost ] = 375 − 2 x − 3 y . Give the linear equation (in slope-intercept form) of the line of constant cost c . (b) As c increases, does the line of constant cost move up or down? (c) By inspection, find the vertex of the feasible set that gives the optimal solution.

Figure 10(b) shows the feasible set of the transportation problem of Example 2 and the straight line of all combinations of shipments for which the transportation cost is $240. (a) The objective function is [ cost ] = 375 − 2 x − 3 y . Give the linear equation (in slope-intercept form) of the line of constant cost c . (b) As c increases, does the line of constant cost move up or down? (c) By inspection, find the vertex of the feasible set that gives the optimal solution.

Solution Summary: The author explains the linear equation of the line of constant cost c in slope-intercept form.

Finite Mathematics & Its Applications (12th Edition)

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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Textbook Question

Chapter 3.4, Problem 2E

Figure 10(b) shows the feasible set of the transportation problem of Example 2 and the straight line of all combinations of shipments for which the transportation cost is $240.

Chapter 3.4, Problem 2E, Figure 10(b) shows the feasible set of the transportation problem of Example 2 and the straight line

(a) The objective function is [ cost ] = 375 − 2 x − 3 y . Give the linear equation (in slope-intercept form) of the line of constant cost c.

(b) As c increases, does the line of constant cost move up or down?

(c) By inspection, find the vertex of the feasible set that gives the optimal solution.

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Chapter 3 Solutions

Finite Mathematics & Its Applications (12th Edition)

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In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Prob. 37E Ch. 3 - State the inequality properties for addition,...Ch. 3 - What are the general forms of a linear inequality...Ch. 3 - Prob. 3FCCE Ch. 3 - 4. What is meant by the feasible set of a system...Ch. 3 - Prob. 5FCCE Ch. 3 - Prob. 6FCCE Ch. 3 - Prob. 7FCCE Ch. 3 - Prob. 8FCCE Ch. 3 - 9. Give a procedure for solving a linear...Ch. 3 - Prob. 1RE Ch. 3 - 2. Graph the linear inequality. Ch. 3 - 3. Write the inequality whose graph is the...Ch. 3 - 4. 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