Suppose the market for lemonade is a competitive market. The prevailing market price is $10. A typical seller in the market has a cost function of: C = q3 - 6q2 + l0q + 100
a. Find its profit-maximizing output level. Calculate her profit.
b. What is the lowest price a typical seller is willing to accept in the short run? Explain with calculation.
c. Given the result in (a), what will happen to the market price in the long run? Explain briefly in words.