The Solo Coal Mine Is the Only Employer in the Small

The Solo Coal Mine is the only employer in the small town of Way out there.The market supply of miners is Q^s = 0.02W - 200 and Q^d = 500 - 0.02W,where W is the annual wage of a coal miner and Q is the number of coal miners.What is the profit maximizing number of coal miners for the coal mine to hire?

A) 100
B) 150
C) 50
D) 233.33