IF you can show all the work you used to get this answer it would be greatly apprecitaed

8) (10) Cruzing Tunes determines that in order to sell x units of a new car stereo, the price per unit, in dollars, must be p(x) = 1000 - x It also determines that the total cost of producing x units is given by: C(x) = 3000 + 20x a) Find the total revenue R(x), b) Find the total'profit P(x) c) How many units must the company produce and sell in order to maximize prot? d) What is the maximum profit? e) What price per unit must be charged in order to maximize profit