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- 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?Draw the demand curve, marginal revenue, and marginal cost curves from Figure 9.6, and identify the quantity of output the monopoly wishes to supply and the price it will charge. Suppose demand for the monopolys product increases dramatically. Draw the new demand me. What happens to the marginal revenue as a result of the increase in demand? What happens to the marginal cost curve? Identify the new profit-maximizing quantity and price. Does the answer make sense to you? Figure 9.6 Illustrating Profits at the HealthPill MonolpolyHow can a monopolist identify the profit-maximizing level of output if it knows its total revenue and total cost curves?
- 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.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.In what sense is a natural monopoly natural?