45. Revenue, cost, and profit. The pricedemand equation and the cost function for the production of table saws are given, respectively, by x I 6,000 30p and C(x) 2 72,000 + 60x where x is the number of saws that can be sold at a price of $17 per saw and C(x) is the total cost (in dollars) of producing x saws. (A) Express the price p as a function of the demand x, and nd the domain of this function. (B) Find the marginal cost. (C) Find the revenue function and state its domain. (D) Find the marginal revenue. ' _ (E) Find R'(1,500) and R'(4,500) and interpret these quantities. (F) Graph the cost function and the revenue function on the same coordinate system for 0 S x 5 6,000. Find the breakeven points, and indicate regions of loss and prot. (G) Find the prot function in terms of x. (H) Find the marginal prot. I 1 (I) Find P ' ( 1,500) and P' (3,000) and interpret these quantities