Suppose that a monopolist sells its product in two countries; Japan and Canada. The monopolist’s marginal cost is $60 and total fixed cost is $100. The direct market demand equations in the two countries are as follows: QJ = 200 − 2PJ and QC = 100 − 0.5PC; where the subscript J denotes Japan and the subscript C denotes Canada. Suppose that the monopolist cannot prevent resale, i.e, the monopolist must charge a single price for both countries. a) Derive the direct total market demand equation, QD = f(P). b) What would be the profit-maximizing quantity (Q*), price (P*), and profit (π*)?

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Suppose that a monopolist sells its product in two countries; Japan and Canada. The monopolist’s marginal cost is $60 and total fixed cost is $100. The direct market demand equations in the two countries are as follows:
QJ = 200 − 2PJ and QC = 100 − 0.5PC;
where the subscript J denotes Japan and the subscript C denotes Canada.

Suppose that the monopolist cannot prevent resale, i.e, the monopolist must charge a single price for both countries.
a) Derive the direct total market demand equation, QD = f(P).

b) What would be the profit-maximizing quantity (Q*), price (P*), and profit (π*)?

Please answer both a) and b). Thank you.

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