A monopolist sells its product in two isolated markets with demand functions P1 = 32 Q
Question:
A monopolist sells its product in two isolated markets with demand functions
P1 = 32 − Q1 and P2 = 40 − 2Q2
The total cost function is TC = 4(Q1 + Q2).
(a) Show that the profit function is given by
(b) Find the values of Q1 and Q2 which maximise profit and calculate the value of the maximum profit. Verify that the second-order conditions for a maximum are satisfied.
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