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
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
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=15Q 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
A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=15Q MC=100 What level of output maximizes total revenue? What is the profit-maximizing level of output? What is the profit-maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by the state government. What is the profit-maximizing level of output?
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