Write down the firm’s objective and efficiency condition. Using diagrams for this problem, calculate the dynamically efficient extractions, marginal user costs, present value of scarcity rents, and present value of total net benefits for the two periods.

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
Chapter11: Price And Output Determination: Monopoly And Dominant Firms
Section: Chapter Questions
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Suppose a firm is facing a two-period (t = 0, 1) depletable resource (e.g., oil) extraction problem. The inverse demand function of the resource is Pt=20–0.5Qt ; marginal extraction cost is MCt = $5/unit; resource stock is Q = 20 units and interest rate is r = 50%.

 

a) Write down the firm’s objective and efficiency condition. Using diagrams for this problem, calculate the dynamically efficient extractions, marginal user costs, present value of scarcity rents, and present value of total net benefits for the two periods.

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