1. A sporting goods store that sells exercise machines has fixed costs of $3,200 per day, and each exercise machine they sell costs them $100. (2 pts each) a) Find the cost function C(x) that represents the cost of the store selling x exercise machines in a day. (2 pts) b) If the daily revenue of the sporting goods store is given by the function R(x)=-2x+300x, find the daily profit function P(x) for the store. (2 pts) c) Find the store's break-even points (Note: You can either use both the cost and revenue functions or just the profit function.). (6 pts) (continued on the back) d) How many exercise machines sold in a day would maximize the profit for the store? (3 pts)