A monopolist producing and selling cooking gas faces a demand curve,

Q = 11,200 - 20P. If Total Cost is TC= 20Q +0.05Q2.

i. Determine the quantity of cooking gas she will produce and the price she will charge to maximize profits and determine her profit.

ii. Explain how her profits will be affected if regulators forced her to operate like a perfectly competitive firm in the long run.

iii. Illustrate and compute dead-weight loss and lost consumer surplus associated with her Monopoly operations.