)u are the marketing manager of a firm that produces inium and sells this metal to two distinct kinds of lsumers: aircraft producers and gold club manufacturers. ppose your firms is able to estimate the demand for each rket segment as: Pa = 10 0 (1/500) Qa and PG = 12 0 100)QG, where annual quantities (QA 8: Qg) are in pounds 1 prices are in dollars. Suppose also that the aircraft 'ducers and gold club manufacturers cannot resell the lnium once they purchase it. Your firm estimates a rginal cost of production at $4 per pound. a. Determine the n's profit-maximizing price and output (assume it engages price discrimination). Find the profit of the firm. b. lculate the price elasticity of demand for each segment at optimal price-quantity you calculated in part a. What do 1 notice? Relate this to the price charged in each segment. 3ecause of titanium shortages, the firm's total production Iacity drops to only 1500 pounds per year. Determine the n's optimal quantities and prices in this case. Calculate the 'fit. d. Suppose the firm does not engage in price crimination, and there is no titanium shortage. What would the quantity produced and price charged? Calculate the 'fit. Compared to part a. What do you notice? e. Suppose firm does not engage in price discrimination and there is .tanium shortage dropping the firms max production Iacity to 1500 pounds per year. What would be the quantity 'duced and price charged? Calculate the profit. Compare to 't c. What do you notice? f. Overall, what can you say )ut third degree price discrimination given this