Break-even analysis. Use the revenue function from Problem 65 and the given cost functio...

Break-even analysis. Use the revenue function from Problem 65 and the given cost function:

where x is in millions of chips, and R(x) and C(x) are in millions of dollars. Both functions have domain 1 ≤ x ≤ 20.

(A) Sketch a graph of both functions in the same rectangular coordinate system.

(B) Find the break-even points to the nearest thousand chips.

(C) For what values of x will a loss occur? A profit?

Reference:

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

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.

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

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