You are the manager of a firm that produces products x and y at zero cost. you know that different types of consumers value your two products differently, but you are unable to identify these consumers individually at the time of the sale. in particular, you know there are three types of consumers (1,000 of each type) with the following valuations for the two products: consumer type product x product y 1 $90 $60 2 70 140 3 40 160 a. what are your firm’s profits if you charge $40 for product x and $60 for product y