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) = 7Q 2 - 30 + 6 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

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.7P
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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) = 7Q 2 - 30 + 6 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.
Transcribed Image Text: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) = 7Q 2 - 30 + 6 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.
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