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Using Time-Series Data,the Demand Function for a Profit-Maximizing Monopolist Has Qd=142,000500P+6M400PRQ _ { d } = 142,000 - 500 P + 6 M - 400 P _ { R }

Question 93

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Using time-series data,the demand function for a profit-maximizing monopolist has been estimated as Qd=142,000500P+6M400PRQ _ { d } = 142,000 - 500 P + 6 M - 400 P _ { R } where QdQ _ { d } is the amount sold,P is price,M is income,and PRP _ { R } is the price of a related good.The estimated values for M and PRP _ { R } in 2021are $25,000 and $200,respectively.The short-run marginal cost curve for this firm has been estimated as: MC=2000.024Q+0.000006Q2M C = 200 - 0.024 Q + 0.000006 Q ^ { 2 } Total fixed cost is forecast to be $500,000 in 2021.What is the profit-maximizing (or loss-minimizing) level of production?


A) 0 units,the firm should shut down.
B) 1,000 units
C) 1,800 units
D) 2,000 units
E) 8,000 units

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