Question

In: Economics

Suppose that the government has decided not to regulate this industry, and the firm is free to maximize profits, without constraints.


Regulating a natural monopoly 

Consider the local cable company, a natural monopoly. The following graph shows the monthly demand curve for cable services and the company's marginal revenue (MR), marginal cost (MC), and average total cost (ATC) curves.

image.png

Suppose that the government has decided not to regulate this industry, and the firm is free to maximize profits, without constraints.

 Complete the first row of the following table.

image.png

 Suppose that the government forces the monopolist to set the price equal to marginal cost.

 Complete the second row of the previous table.


 True or False: Under the average-cost pricing policy, the cable company has no incentive to cut costs. 

  •  True

  •  False


Solutions

Expert Solution

Profit maximization in monopoly situation

Monopolist is a price Maker. He will determine the quantity of output that will maximize revenue. The monopolist faces a downward sloping demand curve because he can sell more if he lowers the price. The profit maximizing price and output is where marginal revenue equals marginal cost, then it is extended to the market demand curve to determine what market price corresponds to that quantity.

The monopoly profit equals (P-ATC) x Q.

P=$60

ATC=$40

Q= where MR=MC=6

Profit =($60-$40) x 6=$120

Marginal Cost Pricing (Socially optimal outcome)

The socially optimal quantity is at the intersection of MC and demand curve.

Q= MC=D= 12

Price at MC=D=$30

ATC=$35

Profit ($35-$30) x 12=$ 60 ( Loss)

Average Cost Pricing

The fair return outcome is at the intersection of ATC and demand curve

Q= ATC=Demand curve= 11

Price at ATC=D=$35

ATC=$35

Profit=($35-$35) x 11=$0

Since P=ATC, the monopolist makes zero economic profit.

Short run
Pricing mechanism Quantity (Subscriptions) Price $ (Dollars per subscription) Profit Long run decision
Profit maximization 6 60 Positive Stay in business
Marginal Cost Pricing 12 30 Negative Exit   business
Average Cost Pricing 11 35 Zero Stay or exit business
True. The firm has no incentive to cut costs as the price equals ATC.

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