9. A monopolist faces market demand Q=30-P where P is price and Q is output. It has a cost function. C(Q) = 50² 29 (a) Find the profit maximising price and quantity and the resulting profit to the monopoly. What is the socially optimal price? Calculate the deadweight loss (DWL) due to the monopolistic behavior of this firm. Calculate consumer surplus (CS) and producer surplus (PS). Show CS, PS, and DWL on a diagram.

ENGR.ECONOMIC ANALYSIS
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9. A monopolist faces market demand
Q=30-P
where P is price and Q is output. It has a cost function
C(Q)
52²
(a) Find the profit maximising price and quantity and the resulting profit to the
monopoly.
What is the socially optimal price? Calculate the deadweight loss (DWL) due
to the monopolistic behavior of this firm. Calculate consumer surplus (CS)
and producer surplus (PS). Show CS, PS, and DWL on a diagram.
Transcribed Image Text:9. A monopolist faces market demand Q=30-P where P is price and Q is output. It has a cost function C(Q) 52² (a) Find the profit maximising price and quantity and the resulting profit to the monopoly. What is the socially optimal price? Calculate the deadweight loss (DWL) due to the monopolistic behavior of this firm. Calculate consumer surplus (CS) and producer surplus (PS). Show CS, PS, and DWL on a diagram.
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