Tobacco King is a monopolist in the cigarette market in Nicotiana Republic, where the Singaporean dollar is used as the official currency. The firm has a constant marginal cost of $2.00 per pack. The fixed cost of the firm is $50 million. The firm's demand curve can be expressed as P = 8 - 0.04Q, where Q is the quantity demanded (in millions of packs) and P is the price per pack (in $).]

a. [In a table show Tobacco King, the monopolist's demand schedule, total revenue, average revenue, and marginal revenue for prices $2, $4, $6, and $8. (Hint: demand schedule refers to prices and quantity demanded at those prices).

b. [Based on the table created in answer to part (a), show Tobacco King's average revenue and marginal revenue curves in a graph. Comment on why the MR curve lies below the AR curve.

c. [Add marginal cost curve to the graph drawn in part (b). Find out the price and quantity combination of cigarettes packets at which, Tobacco King will maximize its profit.