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.For 2021,the inverse demand function is

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To find the inverse demand function, we first substitute the given values of $M$ and $P_R$ into the demand equation: $Q_d = 100,000 - 500P + 2(50,000) + 5000(20)$. This simplifies to $Q_d = 100,000 - 500P + 100,000 + 100,000$, which further simplifies to $Q_d = 300,000 - 500P$. To find the inverse demand function, we solve for $P$, giving us $P = 600 - 0.002Q$. None of the provided options match this equation.

The Market Demand for a Monopoly Firm Is Estimated to Be