Revenue. The marketing research department for a company that manufactures and sells memor...

Revenue. The marketing research department for a company that manufactures and sells memory chips for microcomputers established the following price–demand and revenue functions:

p(x) = 75 − 3x price–demand function

R(x) = x p(x) = x(75 − 3x) Revenue function

where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 1 ≤ x ≤ 20.

(A) Sketch a graph of the revenue function in a rectangular coordinate system.

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(B) Find the value of x that will produce the maximum revenue. What is the maximum revenue?

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(C) What is the wholesale price per chip that produces the maximum revenue?