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A monopolistic firm produces its product in a single market and sells it in two different markets. According to this ; Average revenue (AR) function

A monopolistic firm produces its product in a single market and sells it in two different markets. According to this ;

Average revenue (AR) function of the 1st and 2nd markets respectively AR(1)=60-3Q(1) and AR(2)=20-2Q(2) if the total cost function is TC=f(Q)=12Q+4 ,Q=Q(1)+Q(2).

a)2. Assuming that the rank condition is satisfied, how much should the monopolist firm produce in the 1st and 2nd markets in order to maximize it?

b) At what price should each market sell its good? Calculate.

c) What is the price elasticity of demand for each market? Calculate and interpret.

d) On the same graph, draw the graph of the demand line of both markets, showing the differences in elasticity and the values you obtained in the "a" option.

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