Question

An electronics manufacturer can produce and sell x MP3 players per week. The total cost C (in dollars) of producing MP3 players is C = 93c + 35,000, and the total revenue R (in dollars) is R = 135x.
1. Find the profit P in terms of x.
2 find the profit obtained by selling 5000 MP3 players per week.

Answer 1

Profit, or the surplus money after your costs are covered, is Revenue - Costs.

so in this case the profit P(x) = R(x) - C(x).

$\bf P(x)=(135x)-(93x+35000)\implies P(x)=135x-93x-35000 \\\\\\ P(x)=42x-35000 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{selling 5000 mp3s}}{P(5000)=42(5000)-35000}\implies P(5000)=210000-35000 \\\\\\ P(5000)=175000$