Suppose market demand for oil is Q(P)=100–0.75P where Q is billions of barrels (BBL)or oil per year and P is price per barrel where,MC(Q)=3Q There is a total of 100 BBL of oil available to use in periods 0 (current year) and 1 (next year). Assume the interest rate is 5%. What is the revenue-maximizing quantities of oil to extract in each period? What are the corresponding prices? What is the CS, PS, SW in each period? Show that this solution maximizes social welfare.

Suppose market demand for oil is Q(P)=100–0.75P where Q is billions of barrels (BBL)or oil per year and P is price per barrel where,MC(Q)=3Q There is a total of 100 BBL of oil available to use in periods 0 (current year) and 1 (next year). Assume the interest rate is 5%. What is the revenue-maximizing quantities of oil to extract in each period? What are the corresponding prices? What is the CS, PS, SW in each period? Show that this solution maximizes social welfare.

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

Chapter2: Fundamental Economic Concepts

Section: Chapter Questions

Problem 4E

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A town is endowed with an oil reserve. The total stock of oil from the reserve is 110 barrels. The townmust sell all 110 barrels within two time periods, so the quantity extracted will be q1 + q2 = 110, whereq1, for example, is the quantity extracted in period 1. The price per barrel that the town can sell theoil for is pt= 150 −10/11 qt in each period. There is a constant cost of extraction c = 50, such that theresource rent earned by each barrel in each period is πt= pt−c. If the interest rate is 20%, how muchoil will the town extract in period 1 and in period 2 (what should q1 and q2 be) if it wanted to extractefficiently (i.e. maximize profits)?
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