A firm has the following inverse demand and total cost relationships: P=120 – 0.5Q C=225+60Q+Q² a. Determine the quantity (Q) that maximizes profit. b. Calculate P, R, C, AC, and at the optimal quantity found in part a. c. Determine the quantity (Q) that maximizes total revenue. d. Calculate P, R, C, AC, and x at the optimal quantity found in part c. e. Determine the quantity (Q) that minimizes average cost. £. Calculate P, R, C, AC, and a at the optimal quantity found in part e.