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

Multiple Choice

Using time-series data,the demand function for a profit-maximizing monopolist has been estimated as $Q _ { d } = 142,000 - 500 P + 6 M - 400 P _ { R }$ where $$Q _ { d }$$ is the amount sold,P is price,M is income,and $$P _ { R }$$ is the price of a related good.The estimated values for M and $P _ { R }$ in 2021are $25,000 and $200,respectively.The short-run marginal cost curve for this firm has been estimated as: $M C = 200 - 0.024 Q + 0.000006 Q ^ { 2 }$ Total fixed cost is forecast to be $500,000 in 2021.What is the value of average variable cost at the optimal level of output?

A) $76
B) $96
C) $232
D) $196
E) $112