Figure 10(a) shows the feasible set of the nutrition problem in Example 1 of Section 3.3 and

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Figure 10(a) shows the feasible set of the nutrition problem in Example 1 of Section 3.3 and the straight line of all combinations of rice and soybeans for which the cost is 42 cents.
(a) The objective function is 21x + 14y. 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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