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

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.The forecasted demand function for 2021is:

A) $Q _ { d }$ = 212,000- 500P
B) $Q _ { d }$ = 200,000 -2,000P
C) $Q _ { d }$ = 80,000 -500P
D) $Q _ { d }$ = 150,000 -2,000P
E) $Q _ { d }$ = 110,000 - 500P