The manager of big box store has found that if the price of a pillow is p(x) = 95 - x 8 , then x pillows will be sold. the expression for the total revenue from the sale of x pillows is r(x) = 95x - x 2 8 . find the number of pillows that will produce maximum revenue.

the number of pillows that will produce maximum revenue is 380 pillows

Step-by-step explanation:

The expression for the total revenue from the sale of x pillows is R(x) = 95x - x^2/8.

This is the revenue function The first step is to determine the first derivative of the revenue function. It becomes

R'(x) = 95 - 2x/8

R'(x) = 95 - x/4

The maximum value of a given function occurs when the derivative equals zero. Therefore

0 = 95 - x/4

x/4 = 95

x = 95 × 4 = 380

2222222222222222222

step-by-step explanation: