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 - 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.

Transcribed Image Text:

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