A monopolist produces the same product at two factories. The cost functions for each factory are as

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A monopolist produces the same product at two factories. The cost functions for each
factory are as follows:TC, = 8Q, and TC, = Q

The demand function for the good is
P = 100 − 2Q
where Q = Q1 + Q2. Find the values of Q1 and Q2 which maximise profit.

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