Average revenue schedule of a simple monopolist is what is, Business Economics

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Average revenue schedule of a simple monopolist is what is

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

a) What is the market-clearing price for the monopolist?

b) How much will the monopolist produce?

c) What is the net profit of the monopolist?

d) What is the elasticity of demand at the market - clearing price

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