Profit Maximization. Consider a competitive pizza shop with a demand curve Q = 60-2P Suppose that the TC function for pizza is TC = 100 + Q 2 /4 a. Identify the profit maximizing number of pizzas, as well as the profit-maximizing price and maximum profits. b. Identify analytically the MC curve and the SATC and SAVC curves. c. Identify the shutdown point for the firm, and the breakeven point for the firm. d. Use your P, MR, MC, SATC and SAVC functions to illustrate the profit maximizing output. e. At the profit maximizing price, what is the price elasticity of demand? f. Analytically, and in the above figure identify the producer surplus at the profit maximizing price. How do producer surplus and profits differ here?

Profit Maximization. Consider a competitive pizza shop with a demand curve

Q = 60-2P

Suppose that the TC function for pizza is TC = 100 + Q 2 /4
a. Identify the profit maximizing number of pizzas, as well as the profit-maximizing
price and maximum profits.
b. Identify analytically the MC curve and the SATC and SAVC curves.
c. Identify the shutdown point for the firm, and the breakeven point for the firm.
d. Use your P, MR, MC, SATC and SAVC functions to illustrate the profit
maximizing output.
e. At the profit maximizing price, what is the price elasticity of demand?
f. Analytically, and in the above figure identify the producer surplus at the profit
maximizing price. How do producer surplus and profits differ here?