Problem Set 5

1. "Monopoly is good for producers but bad for consumers. The gains of the former offset the losses of the latter. On balance, there is no reason to think that monopoly is bad for the economy." Evaluate.

2. Is price discrimination harmful to the US economy? Explain why or why not. What three conditions are necessary for successful price discrimination?

3. A price discriminating seller will charge a higher price to those market segments which have the relatively more inelastic demand. For each of the markets below, indicate which segment you think will be charged the higher price. Explain why you think that segment has a lower elasticity of demand.
a) sales of new boats to those who presently own a boat, or those who do not own a boat.
b) sales of movie tickets to children or adults.
c) sales of airline tickets to business travelers or a couple on vacation.
d) sales of cosmetic surgery to the poor or the rich.

4. It has been argued that the development of the railroad in the middle of the nineteenth century substantially reduced the market power of many American manufacturing firms. Explain.

5. If an organization like the Mafia effectively monopolized illegal activity, would you expect to observe less crime than under competitive free entry into this "industry"?

6. How are some firms able to earn economic profits year after year after year? Why doesn't the competitive process force economic profits to zero?

7. A monopolist produces 100 units of output where MR = MC and charges a price of $20. The average cost of 100 units is $12. Draw this situation on a graph.
a) What is total revenue, total cost, and economic profit at this output level?
b) Suppose the government imposes a lump-sum tax of $300 on the monopolist. How does the monopolist respond to this in terms of price and output? Illustrate graphically. What are its profits now?

8. A monopolist is producing at a point where its marginal cost exceeds its marginal revenue. How should it adjust its output level to increase its profit?

9. Monopolistic Firm:

Q P TR MR TC MC FC VC AC AVC AFC p
0 80     150              
10 75     350              
20 70     500              
30 65     700              
40 60     950              
50 55     1300              
60 50     1700              
70 45     2150              
80 40     2650              
90 35     3200              
100 30     3800              

a) Complete the table.
b) What is the
p -maximizing output and price?
c) Using your favorite spreadsheet, plot the following graphs:
Graph 1: TR, TC, VC, FC versus Q
Graph 2: P, MR, MC, AC, AVC versus Q
Graph 3:
p versus Q
d) What is the lowest price at which the monopolist would be willing to operate at in the short run?

10. The following table indicates the prices various buyers are willing to pay for a Miata sports car:

Buyer Maximum Price
Dee $50,000
Courtney $40,000
Will $30,000
Mary Ann $20,000
Greg $10,000

The cost of producing the cars includes $50,000 of fixed costs and a constant marginal cost of $10,000.
a) Graph the demand, marginal revenue, and marginal cost curves.
b) What is the profit-maximizing output and price for a monopolist? How much profit does the monopolist make?
c) If the monopolist can practice first-degree price discrimination, how many cars will she sell? How much profit will she make?
d) What techniques could the monopolist use to employ price discrimination?

11. What is market failure and from what does it arise?

12. If people are rational, how can public choice result in government actions with benefits that are less than the costs?

13. Art, Bob, and Charlie own a lake in Michigan that they use for recreational purposes. A mosquito abatement program will benefit all. Art place a value of $1, Bob places a value of $19, and Charlie places a value of $100 on a mosquito-free environment. A firm will spray the lake and charge each owner $35.
a) What decision would be reached under majority rule? Would the result be efficient?
b) What decision would be reached if Art, Bob, and Charlie could engage in costless negotiations? Could unanimity be achieved?

14. Suppose there are two classes made up of very similar students and students can choose which class they sign up for. In one class, each student receives the grade made on each test. In the other class, each student receives the class average as his or her grade. These policies are known by all. In what class would you expect the higher average grade? Explain.

15. An environmentalist argues that all pollution must be eliminated. How would you try to convince her that her position is both unreasonable and impractical?

16. Factory A produces 1000 tons of sulfuric acid at a cost of $10,000. For the people in the community, the production of 1000 tons of sulfuric acid causes an increase of $5000 in medical payments, a loss of $4000 in wages by being sick, and an increase of $1000 in dry-cleaning bills. What are the private and social costs of the 1000 tons of sulfuric acid? Show your work.

17. Take a monopolistic firm that produces a product that imposes external costs on the surrounding the community. Is this firm producing too much or too little?

18. Airport noise is certainly a negative externality. Why would people choose to live near airports?

19. A factory's production process creates sludge that pours into a river. This sludge makes it difficult to fish in the river, increasing the costs of the local fishermen by $4000. The factory can install a water filter system for $3500, and the fishermen can utilize a weighted fishing net system (to get under the sludge) for $2750. Both systems would remedy the sludge damage to the fishermen.
a) Suppose transactions costs are zero. If the factory is not liable and can continue to produce sludge, what outcome do you predict and why?
b) Suppose transactions costs are zero. If the factory is assigned liability for sludge damage, what outcome do you predict and why?
c) Now suppose transactions costs preclude the possibility of private bargaining between the factory and fishermen. If a pollution tax is levied on the factory with the proceeds given to the fishermen, then what outcome do you predict and why?
d) Discuss the results of parts (a), (b), and (c) in terms of the Coase Theorem.

20. Fishermen who use nets to catch tuna also sometimes net dolphins, which, because they are mammals, drown before they can be released. Currently, the price and quantity of tuna determined by the market does not take into account the cost to society of killing the dolphins (marginal external cost). Listed below are market demand and supply schedules for tuna as well as the marginal external social costs associated with dolphins killed in the process of catching tuna. All costs and values are listed in terms of dollars per pound of tuna.

Quantity of tuna
(1000s)
Consumer's valuation
of tuna
Marginal private cost
of tuna
Marginal external cost
of dolphins
1000 $5.50 $1.75 $2.05
2000 5.00 2.00 2.15
3000 4.50 2.25 2.25
4000 4.00 2.50 2.35
5000 3.50 2.75 2.45
6000 3.00 3.00 2.55
7000 2.50 4.50 2.65
8000 2.00 4.70 2.75

a) What output and price would the free market generate? Why?
b) What is the socially optimal output and price? Why?
c) In order to obtain the socially optimal equilibrium, what would the appropriate per-pound tax on suppliers need to be? Of this tax, how much would consumers end up paying?

21. President Clinton wants stronger tax incentives to encourage more people to go to college and to remain in college longer. What are the economic arguments in favor of such a change in incentives? What are the arguments against it? Where do you come out on this issue and why?