The Market Demand for a Monopoly Firm Is Estimated to Be

The market demand for a monopoly firm is estimated to be: $Q _ { d } = 100,000 - 500 P + 2 M + 5000 P _ { R }$ where $Q _ { d }$ is quantity demanded,P is price,M is income,and $P _ { R }$ is the price of a related good.The manager has forecasted the values of M and $P _ { R }$ will be $50,000 and $20,respectively,in 2021.The average variable cost function is estimated to be $A V C = 520 - 0.03 Q + 0.000001 Q ^ { 2 }$ Total fixed cost in 2021is expected to be $4 million.The firm's profit is

A) $100,000.
B) $200,000.
C) $375,000.
D) -$182,000.
E) $800,000.