Suppose that there is a firm which has a monopoly and price per unit P(Q) with the quantity Q is given s.t: P(Q) = 100 – Q, Q E [0,300] and the cost function is 1000 C(Q) = 03 -Q² + 50Q + Find the production level that maximizes profit. 3 600

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter12: Monopoly
Section: Chapter Questions
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Suppose that there is a firm which has a monopoly and price per unit P(Q) with
the quantity Q is given s.t: P(Q) = 100 – Q, Q E [0,300] and the cost function is
%3D
1000
C(Q) = Q3 -0² + 50Q +
. Find the production level that maximizes profit.
%3D
600
Transcribed Image Text:Suppose that there is a firm which has a monopoly and price per unit P(Q) with the quantity Q is given s.t: P(Q) = 100 – Q, Q E [0,300] and the cost function is %3D 1000 C(Q) = Q3 -0² + 50Q + . Find the production level that maximizes profit. %3D 600
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