Question

The function C(x) = 150 + 3.3x models the cost for a company to produce x units of a product. The function R(x) = 15x models the revenue the company earns if they sell x units of the product. Which function, P(x), models the profit the company earns if they sell x units of the product? (Profit = Revenue - Cost) O P(x) = 18.3x - 150 O P(x) = 11.7x - 150 OPlx) = 150 - 11.7x O P(x) = 18.3x + 150

Answer 1

Answer: We need to find the expression p(x) for profit.

`\begin{gathered} \text{profit = revenue -cost} \\ \therefore\rightarrow \\ P(x)=R(x)-C(x) \\ P(x)=15x-(150+3.3x)=15x-150-3.3x=18.3x-150 \\ \therefore\rightarrow \\ P\mleft(x\mright)=18.3x-150 \\ \end{gathered}`

Therefore the first option represents the profit of the company.