The average revenue schedule of a simple monopolist is: Pmkt = 5000 - 20Q The total cost

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Question:

The average revenue schedule of a simple monopolist is:
Pmkt = 5000 - 20Q
The total cost schedule of the monopolist is:
TC = 50Q^2 + 100Q; and marginal cost is:
MC = 100Q + 100

What is the market-clearing price for the monopolist?
How much will the monopolist produce?
What is the net profits of the monopolist?
What is the elasticity of demand at the market-clearing price?