Based on the best available econometric estimates, the market elasticity of demand for your firm's product is -3.0. The marginal costof producing the product is constant at $150, while average total cost at current production levels is $215.Determine your optimal per unit price if:Instructions: Enter your responses rounded to two decimal places.a. you are a monopolist.2$b. you compete against one other firm in a Cournot oligopoly.$C. you compete against 19 other firms in a Cournot oligopoly.2$

Elasticity of demand = -3.0 Marginal cost = $150 Average total cost = $215

Answered: Based on the best available econometric…

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter13: best-practice Tactics: Game Theory

Section: Chapter Questions

Problem 1E

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Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one large firmâ€”Tile King. Ajax produces a multiheaded tunnel wall scrubber that is similar to a model produced by Tile King. Ajax decides to charge the same price as Tile King to avoid the possibility of a price war. The pnce charged by Tile King is $20,000. Ajax has the following short-run cost curve: TC=800,0005,000Q+100Q2 Compute the marginal cost curve for Ajax. Given Ajaxs pricing strategy, what is the marginal venue function for Ajax? Compute the profit-maximizing level of output for Ajax. Compute Ajaxs total dollar profits.
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.
The Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomacs closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is 3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?

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