Answer to Question #4975 in Microeconomics for Debra Rowland

Question #4975
Assume that purely competitive firms growing oranges discover that P exceeds MC. Is their combined output of oranges too little, too much or just right to achieve allocative efficiency? In the long run what will happen to the supply and price of oranges? Would the same be true of a monopoly? Why or why not?
1
Expert's answer
2011-11-04T09:07:49-0400
1. For competitive firms P>MC means that the output is too little and it should be increased by each firm that to achieve the maximum market efficiency.
2. In the long run the existing firms will increase their output and new firms will enter the industry. The supply will grow and the price will fall.
3. Such situation is normal for monopoly, as the equilibrium condition in this case is MR=MC (P>=MR). Consider from the graph below.
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" 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