If the inverse demand curve of profit maximizing monopolist is given as P =1200 − 2Q , and cost function as C = Q3 − 61.25Q2+1528.5Q + 2000, find equilibrium output level, monopolist price, and profit.

If the inverse demand curve of profit maximizing monopolist is given
as P =1200 − 2Q , and cost function as

C = Q3 − 61.25Q2+1528.5Q + 2000, find equilibrium output level,
monopolist price, and profit.