7. 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: (Solomon [MBAA 542]) PROBLEM SET II DUE: MARCH 20, 2022 Consumer Type Product X Product Y $90 $60 70 140 40 160 a. What are your firm's profits if you charge $40 for product X and $60 for product Y? b. What are your profits if you charge $90 for product X and $160 for product Y