The marketing research department for a company that manufactures and sells notebook computers established the following revenue and cost functions:

R(x) = 52 x – 2x^2
C(x) = 28 x + 54

where R(x) and C(x) are in millions of dollars.

(A) For what values of x will the company break even (list the smaller value first)? x =

For parts (B) and (C), since we are talking about production level, the domain of the the profit function, P(x), is [0, infinity)

(B) For what outputs will a profit occur (use interval notation and, if needed, use "infinity" for infinity)?

(C) For what outputs will a loss occur (use interval notation and, if needed, use "infinity" for infinity)

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