A monopolist sells two products x and y for which the demand functions are: x = 72 − 0. 5Px y = 120 − Py And the joint cost function is C = x2 + xy + y2 + 35 Find the profit maximizing level of (i) output, (ii) price, and (iii) profit for a monopolist with the above demand functions.

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
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Chapter9: Monopoly
Section: Chapter Questions
Problem 12QFR
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A monopolist sells two products x and y for which the demand functions are:

x = 72 − 0. 5Px
y = 120 − Py

And the joint cost function is C = x2 + xy + y2 + 35

Find the profit maximizing level of (i) output, (ii) price, and (iii) profit for a monopolist
with the above demand functions.

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