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A monopoly faces the following demand curve: P=90-2Q. Variable production costs are VC(Q)=Q^2. The monopoly also pays $500 in costs that are only...

A monopoly faces the following demand curve: P=90-2Q. Variable production costs are VC(Q)=Q^2. The monopoly also pays $500 in costs that are only payable if any production is taking place. what is the profit maximizing price and quantity as well as its profit?

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