A friend has decided to open a coffee shop nearby to campus. She knows that her coffee will be directly comparable to another shop which faces price elasticity of demand of ɛ=- 0.8 and sells coffee at P=$3/cup. She asks you to provide a range of her expected profit margin. What is the range? (Hint: Assume her business can range in market structure between a perfectly competitive firm and a monopoly)
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- Imagine a monopolist could charge a different price to every customer based on how much he or she were willing to pay. How would this affect monopoly profits?How can a monopolist identify the profit-maximizing level of output if it knows its total revenue and total cost curves?Draw a monopolists demand curve, marginal revenue, and marginal cost curves. Identify the monopolists profit-maximizing output level. Now, think about a slightly higher level of output (sayQ0+1). According to the graph, is there any consumer willing to pay more than the marginal cost of that new level of output? If so, what does this mean?
- Imagine that you ale managing a small firm and thinking about entering the market of a monopolist. The monopolist is currently charging a high price, and you have calculated that you can make a nice profit charging 10 less than the monopolist. Before you go ahead and challenge the monopolist, what possibility should you consider for how the monopolist might react?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.Can you think of any examples of successful predatory pricing in the real world?
- Return to Figure 9.2. Suppose P0 is 10 and P1 is 11. Suppose a new firm with the same LRAC curve as the incumbent tries to bleak into the market by selling 4,000 units of output. Estimate from the graph what the new firms average cost of producing output would be. If the incumbent continues. to produce 6,000 units, how much output would the two films supply to the market? Estimate what would happen to the market price as a result of the supply of both the incumbent firm and the new entrant. Approximately how much profit would each firm earn? Figure 9.2 Economics of Scale and Natural MonoployFrom 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.)Inverse elasticity rule Use the first-order condition (Equation 15.2 ) for a Cournot firm to show that the usual inverse elasticity rule from Chapter 11 holds under Cournot competition (where the elasticity is associated with an individual firm's residual demand, the demand left after all rivals sell their output on the market). Manipulate Equation 15.2 in a different way to obtain an equivalent version of the inverse elasticity rule: pMCp=sieQ,p , where si=qi/Q is firm i's market share and eQp is the elasticity of market demand. Compare this version of the inverse elasticity rule with that for a monopolist from the previous chapter.
- Exercise 5. You are the manager for a monopoly with costs, demand, and marginal revenueas in the graph at the top on Figure 1.a. Does the fact that you operate in a monopoly always guarantee that you can achievehigher profits by increasing the price? Explain.b. Draw the area representing the profits on the top graph on Figure 1.c. Suppose one of your suppliers just announced an increase in prices for a specific partthat your product requires. What should the impact be to each of the curves on thetop graph of Figure 1? Explain carefully.d. Suppose economic conditions change in such a way that the demand curve for yourcompany shifts left.i. Draw a demand curve on the bottom graph on Figure 1 that leads to zero economicprofits.ii. Draw a demand curve on the bottom graph on Figure 1 such that any furtherleftward demand shift will cause you to shutdown.Consider a mature maket with a demand given by P=105.4-10Q The cost of production is given by C=10Q For many years this market has been served by a monopolist. How much profit would the firm lose if it is forced to behave as a competitive firm In all your calculations use numbers with 4 decimal places.A market analysis employed by the “Sad Student Company” reveals that the number oflots of the game named “Handsome Killer: Revenge of the Teacher” ordered by thewholesalers when the game is offered at a price of dollars per lot is given by the formula:p=1500-2.5qa) Find the company’s total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing therevenue as a function of price rather than of quantity