Please solve this in the EASIEST way possible.

A monopoly faces the following inverse demand curve: () = 100 2 The marginal cost is $10 per unit.

A) What is the profit-maximizing level of output, ?

(answer should be 22.5)

B) What is the profit maximizing price?

(answer should be 55)

C) What is the socially optimal price

(answer should be Ps= 10)

D) What is the socially optimal level of output?

(answer should be 45)

E) What is the deadweight loss due to the monopoly's profit maximizing price?

(answer should be 506.25)