For this problem, assume a firm's total costs are represented by the equation C = 50 + 4q + 2q^2. Marginal cost = 4 + 4q.

a) What is the minimum price for which this firm will produce and sell its product to breakeven? Explain your answer.

b) What is the minimum price for which this firm will produce and sell its product in the short run? Explain your answer

c) What will the firm do if the market price is $3.90? Is this what you expected? Why or why not?

d) Summarize your findings from parts a and b in three succinct but clear sentences.

e) What will the firm do when the market price is $20? Does this support or refute your part d conclusions?

f) What happens when price is $25? Analyze both the firm and the market.