Your company sells, coffee, a differentiated product, to two distinct types of customers. Group A and Group B customers have demand curves and total cost function (TC) given by: QA150.5PA QB = 280 - PB TC = 4Q a. Assume that a firm separates the customers into the different groups and charges the groups two different prices. Calculate the firm's profit when they price discriminate. b. In the no price discrimination case a firm earns $4, 402.074 in profits. Are profits higher when the firm price discriminates or when it charges both groups the same price? Why might that be?