The vertices of a feasible region are (1, 0) (5, 5) and (5, 0). What is the maximum value of the function P = 2x - y?

Question

The vertices of a feasible region are (1, 0) (5, 5) and (5, 0). What is the maximum value of the function P = 2x - y?

Answer 1

(1,0), (5,5), (5,0)

plug each point into 2x -y

and see which is largest

2

vs

5

vs

10

the last point (5,0) maximizes 2x-y

= 2(5) -0 = 10