Question

Precalc Help- A firm is considering a new product. The accounting department estimates that the total cost, C(x), of producing x units will be C(x)=100x+4240. The sales department estimates that the revenue, R(x), from selling x units will be R(x)=110x, but that no more than 482 units can be sold at that price. Find and interpret (R-C)(482) where R-C=P(x), the profit.

Answer 1

\(\bf C(x)=100x+4240\qquad R(x)=110x
\\ \quad \\
(R-C)\implies 100{\color{brown}{ x}}+4240\quad -\quad 110{\color{brown}{ x}}
\\ \quad \\
(R-C)(482)\implies 100{\color{brown}{ (482)}}+4240\quad -\quad 110{\color{brown}{ (482)}}\)