(Answered) A monopoly faces a demand curve of q 500

Economics

A monopoly faces a demand curve of Q = 500 - 2P and has costs of TC = 100 + 10Q + Q^2 (Thus, you can solve MC = 10 + 2Q). Graphically depict Demand and MC. Also, I would like to know

a) What is the profit maximizing level of output?

b) What is the profit maximizing price?

c) What is the socially optimal price?

d) What is the socially optimal quantity?

e) What is the deadweight loss at the monopoly equilibrium?

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