What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y,subject to (1)2x + 4y ≤ 12 and (2)5x + 2y ≤ 10 and (3)x,y ≥ 0.
A)x = 2,y = 0
B)x = 0,y = 3
C)x = 0,y = 0
D)x = 1,y = 5
E)x = 0,y = 5

Question

Quizplus · Accepted Answer

The objective function is maximized at the point (0,3) which satisfies all constraints and gives the maximum value of 45 for the function 3x + 15y.

What Combination of X and Y Will Yield the Optimum