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

answer:

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step-by-step explanation:

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.