Answer 45a and graph correctly and show steps for thumbs up

45. PROFIT Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where p - -0.05x + 38. The cost of producing x hundred units is C(x) - 0.02x + 3x + 574.77 hundred dollars. a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. H b. Find the average profit AP when the price is $37 per unit. c. Use the profit curve found in part (a) to determine the level of production x that results in maximum profit. What unit price p corresponds to maximum profit