Question

A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product


Scenario A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: 

Q=3500-5p

 MR= 250-Q 

TC=150 MC=100 


What level of output maximizes total revenue? What is the profit maximizing level of output? What is profit maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by state government. What is the profit maximizing level of output

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Answer #1

ANS

The profit maximizing level of output for a monopoly is at point where MR = MC

250 - Q = 100

Q = 150 is the profit maximizing level of output for a monopoly

The profit maximizing level of price is

Q = 3000 - 5p

p = (3000-Q)/5 = 2850/5 = 570 is the profit maximizing level of price

The Profit of monopolist is

TR - TC = P Q - TC = (150 570) - (15 150) = 83250

If government induces $10 tax per unit then

MC = 100 + 10 = 110

MR = 250 - Q

250 - Q = 110

Q = 140

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