4. Consider a monopoly facing the demand Q = 100-5P with the cost function C = 100+2q². a Find the monopoly price and monopoly output. b Find the monopoly profit in the short run. с Will there be adjustment in the long run? Discuss.

How can a monopolist identify the profit-maximizing level of output if it knows its total revenue and total cost curves?

How does the quantity produced and price charged by a monopolist compare to that of a perfectly competitive film?

Suppose the market for Hula Hoops is monopolized by a single firm. a. Draw the initial equilibrium for such a market. b. Now suppose the demand for Hula Hoops shifts outward slightly. Show that, in general (contrary to the competitive case), it will not be possible to predict the effect of this shift in demand on the market price of Hula Hoops. c. Consider three possible ways in which the price elasticity of demand might change as the demand curve shifts: It might increase, it might decrease, or it might stay the same. Consider also that marginal costs for the monopolist might be increasing, decreasing, or constant in the range where MR=MC Consequently, there are nine different combinations of types of demand shifts and marginal cost slope configurations. Analyze each of these to determine for which it is possible to make a definite prediction about the effect of the shift in demand on the price of Hula Hoops.

In the middle of the twentieth century, major U.S. cities had multiple competing city bus companies. Today, there is usually only one and it runs as a subsidized, regulated monopoly. What do you suppose caused the change?

If a monopoly firm is earning profits, how much would you expect these profits to be diminished by entry in the long run?

What is a natural monopoly?

From the graph you drew to answer Exercise 11.6, would you say this transit system is a natural monopoly? Justify. Use the following information to answer the next three questions. In the years before wireless phones, when telephone technology requited having a wile matting to every home, it seemed plausible that telephone service had diminishing average costs and might require regulation like a natural monopoly. For most of the twentieth century, the national U.S. phone company was AT&T, and the company functioned as a regulated monopoly. Think about the deregulation of the U.S. telecommunications industry that has occurred over the last few decades. (This is not a research assignment, but a thought assignment based on what you have learned in this chapter.)

Draw an example of a monopoly with a linear demand curve and a constant marginal cost curve. a. Show the profit-maximizing price and output  and  and identify the areas of consumer surplus, producer surplus, and deadweight loss. Also show the quantity  that would be produced if the monopoly were to act like a price taker. b. Now suppose that the demand curve is a smooth concave-to-the-origin curve (whose ends hit the axes) that is tangent to the original demand curve at the point  Explain why the monopoly equilibrium will be the same as with the linear demand curve. Show how much output the firm would produce if it acted like a price taker. Show how the welfare areas change. c. Repeat the exercises in part b if the demand curve is a smooth convex-to-the-origin curve (whose ends hit the axes) that is tangent to the original demand curve at the point    

A monopoly barber sells haircuts to adults for 30 and A monopoly barber sells haircuts to adults for $30 and to children for $10. Let ηΑ represent adults’ elasticity of demand for haircuts and let ηC represent children’s elasticity of demand.a. Explain why |ηΑ| and |ηC| must both be greater than 1.b. Find a formula for ηA in terms of ηC.c. What is the largest possible value for |ηΑ|? A monopoly barber sells haircuts to adults for 30 and