Answer a :-
Schedule of costs and revenues using the demand function :-
Quantity | Average Revenue | Total Revenue | Marginal Revenue | Marginal Cost | Average Cost | Total Cost |
497 | 601.2 | 298796.4 | 402 | 400 | 400 | 198800 |
498 | 600.8 | 299198.4 | 401.2 | 400 | 400 | 199200 |
499 | 600.4 | 299599.6 | 400.4 | 400 | 400 | 199600 |
500 | 600 | 300000 | 399.6 | 400 | 400 | 200000 |
501 | 599.6 | 300399.6 | 398.8 | 400 | 400 | 200400 |
502 | 599.2 | 300798.4 | 398 | 400 | 400 | 200800 |
It must be noted that in a monopoly market the equilibrium quantity is where the Marginal Costs cuts the Marginal Revenue that is between 499 to 500 units . However the price are set at AR earned at that quantity .
Therefore the equilibrium quantity would be 499 units but the price would be 600.4 .
Yes , a person will buy even if the firm is charging such high prices because of no other option available in the market .
Answer b :-
The firm is earning super normal profits .
Super Normal Profit = (600.4-400)*499
=99,999.6
Answer c :-
The area abcd represents the amount of supernormal profits earned by the firm .
Answer d :-
The price limiting strategy will reduce the super normal profits of the firm as now the new price cannot exceed $420 .
New profit margin = (420*400)*499=9980
Reduction in profits due to price limiting strategy = 99999.6-9980 =90019.6
Answer e :-
The best scheme for creating barriers to entry by dettering potential competitors from entering the market is predatory pricing method . In this method the existing firm uses the method of sharp price cuts to lower the market price of their goods thereby strengthening their consumer base in order to avoid competition in the market .
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