What is the optimal selling plan for the milk monopoly? They must choose both the package sizes and payments.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter15: Monopoly
Section15.3: The Welfare Cost Of Monopolies
Problem 3QQ
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There is a monopoly on milk in Quebec.
Imagine there are only two kinds of milk consumers in Quebec. For one kind consumer,
if they purchase q liters of milk at cost π they get utility 13√q − π.

For the other kind, if they purchase q liters of milk at cost π they get utilty 24√q − π.
What is the optimal selling plan for the milk monopoly? They must choose both the
package sizes and payments.

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