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Involve a Profit-Maximizing Monopolist Qd=142,000500P+6M400PRQ _ { d } = 142,000 - 500 P + 6 M - 400 P _ { R }

question 27

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Involve a profit-maximizing monopolist. Using time-series data, the demand function for the 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 2012 are $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 2015.
-What is the average variable cost function?

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