A firm in monopolistically competitive market faces the following demand and

total cost equations for its product as follows:

Q = 25 - 0.5P.

TC = 144 + 5Q + 0.25Q2.

1. What is the firm's short-run profit-maximizing output, price, and profit?
2. Determine the firm's output, price, and profit at long-run equilibrium, assuming a

parallel shift in the demand curve.

c) What is the demand function at long-run equilibrium