Question

Using the feasible region below, determine which x and y values will maximize the profit, P, in the equation P = 40x + 55y * 1 point

A(0, 500)
B(300, 400)
C(380, 200)
D(400, 0)
E None of the Above

Answer 1

B (300, 400)

Explanation:

The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :

P = 40x + 55 y

A - When x = 0 , y = 500

P = [40 * 0] + [55 * 500]

P = 27500

B -

When x = 300 , y = 400

P = [40 * 300] + [55 * 400]

P = 34000

C -

When x = 380 , y = 200

P = [40 * 380] + [55 * 200]

P = 26200

D -

When x = 400 , y = 0

P = [40 * 400] + [55 * 400]

P = 16000