A monopolist sells its product in two isolated markets with demand functions P1 = 32 Q

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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 byT = 28Q, + 36Q, – Qj – 20 т

(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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