5) The price-demand equation for a company selling ski jackets is: p = -0.2x + 200, where p is in dollars and x is the number of jackets. (10 pts) a) Write the revenue function R(x). b) The fixed costs are $21,900 and the variable cost is $24 per jacket. Write the cost function C(x). c) Determine the profit function P(x). d) Find P(600) and P'(600). Write the meaning. e) Finally, use calculus to find how many jackets should the company manufacture each month to maximize its profit? What is the maximum monthly profit? How much price should the company charge for each jacket