2. You're a monopolist in producing hologram-projecting watches and you face a demand curve given by: P = 100 - 2Q. Your total cost is given by: TC = 200 20Q. a. What is the equation for your firm's MC? MR? b. Algebraically, calculate the optimal (profit-maximizing) price and quantity for your firm. c. Calculate the price elasticity of demand at this point. Are you producing where demand is elastic or inelastic? At what price-point would you be producing where demand is inelastic? d. Accurately graph the demand curve, MR, MC, and ATC, as well as show your profit maximizing level of output and price from (b). e. Calculate your firm's profit or loss. Show it on your graph