A monopolist has a demand curve given by P = 100 - Q and a total cost curve given by TC= 160 + Q². a. Find the monopolist's profit-maximizing quantity and price. How much economic profit will the monopolist earn? [Remember, always first write up the monopolist's problem!] b. In a. you have presumably formulated the problem as "Choose Q so as to maximize profits ... etc". You can also formulate the problem in the form "Choose P so as to maximize profits =... etc. Please, follow this alternative path and show it leads to the very same profit-maximizing quantity and price. c. Now suppose the monopolist has a higher fixed cost, specifically a total cost curve given by 500 + Q². Find the monopolist's profit-maximizing quantity and price. How much economic profit does the monopolist earn? d. What is the welfare loss of monopoly power (i.e. the deadweight loss) in a. and c above.