8. A clothing company determines that in order to sell x jackets, the price per jacket must be p=1400.4x It also determines that the total cost of producing x jackets is given by: C(x)=3500+.15x2. a) Find the total revenue function, R(x) b) Find the total profit function, P(x). c) Find P(x). d) How many jackets must the company produce and sell in order to maximize profit? e) What is the maximum profit? And at what price per jacket must be charged in order to maximize profit