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A local singles bar charges men a higher price than women. Assume that the bar keeper has the following total cost function: TC = 30

A local "singles bar" charges men a higher price than women. Assume that the bar keeper has the following total cost function:

TC = 30 + 4(qm+ qw)

Assume he separates his customers by sex into two distinct markets:

The women's demand function is:

Pw= 80 - 2qw

The men's demand function is:

Pm= 100 - qm

a.What is the profit maximizing price for the women?

b.What is the profit maximizing price for the men?

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