Figure 10(b) shows the feasible set of the transportation problem of Example 2 and the straight line

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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.
y = r + 45 feasible feasible C set set D y = r +3 (b) (a)

(a) The objective function is [cost] = 375 - 2x - 3y. 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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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

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

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