Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The marketing research department for a company that manufactures and sells note

ID: 2834594 • Letter: T

Question

The marketing research department for a company that manufactures and sells notebook computers established the following revenue and cost functions: R(x)=62x2x2 C(x)=38x+54 where R(x) and C(x) are in millions of dollars. a. For what values of x will the company break even? x= For parts b. and c., since we are talking about production/sales level, the domain of the the profit function, P(x), is all x0. b. For which production/sales levels will a profit occur? c. For which production/sales levels will a loss occur?

Explanation / Answer

A. They will break even when R(x) = C(x). So set them equal and solve:
62x - 2x