Question

Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the

Answer 1

P = -2x^2 + 8x + 2

for maximum P, dP/dx = 0

dP/dx = -4x + 8 = 0

4x = 8

x = 2

The company should produce 2,000 units per week to earn maximum profit.

Maximum profit = -2(2)^2 + 8(2) + 2 = -8 + 16 + 2 = 10

Therefore, the maximum weekly profit is $1,000.