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Your company has estimated its total cost to be TC = 3800 + 0.25Q + 0.0018Q2; its marginal cost is thus MC = 0.25 + 0.0036Q, where Q is the quantity of units produced and TC is in dollars. Since your market is relatively competitive, your company is able to sell its output for $12.85 each (which thus yields MR = 12.85 and TR = 12.85Q).
a. What is the optimal level of output for your company to produce/sell? What is the marginal revenue from the last unit sold?
b. What are the total revenue, total cost, and profit (net benefit/net revenue/etc.) from selling the optimal number of units?
d. An eager intern at your company suggests that, since the company earns $12.85 revenue for each unit sold, then the company could make still more profit by selling more than the level chosen in part b; why would your company not want to produce and sell more output than the level you chose in part b?
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