A monopolist in a given market faces inverse demand function P = 90 – 2 Q. Its cost structure is given by C(Q) = 10 Q + F, where F represents a set-up cost that the firm only pays if it decides to produce and sell in this market. Solve this firm’s profit maximization problem and determine the following: The deadweight loss in the market as a proportion of profits, assuming that F = 300 instead:   0.25 0.8 1 0.75

ENGR.ECONOMIC ANALYSIS
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A monopolist in a given market faces inverse demand function P = 90 – 2 Q. Its cost structure is given by C(Q) = 10 Q + F, where F represents a set-up cost that the firm only pays if it decides to produce and sell in this market.

Solve this firm’s profit maximization problem and determine the following:

The deadweight loss in the market as a proportion of profits, assuming that F = 300 instead:

 

0.25

0.8

1

0.75

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