You are the manager of a firm that produces products X and Y at zero cost. You know that different types of consumers va

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You are the manager of a firm that producesproducts X and Y at zerocost. You know that different types of consumers value your twoproducts differently, but you are unable to identify theseconsumers individually at the time of the sale. In particular, youknow there are three types of consumers (500 of each type) with thefollowing valuations for the two products:
a. What are your firm’s profits if you charge $40 forproduct X and $60 forproduct Y? (Instructions:Assume all customers purchase each product.)
$ b. What are your profits if you charge $90 forproduct X and $160 forproduct Y?
$ c. What are your profits if you charge $150 for a bundle containingone unit of product X and one unit ofproduct Y?
$ d. What are your firm’s profits if you charge $210 for a bundlecontaining one unit of X and one unitof Y, but also sell the products individually ata price of $90 for product X and $160 forproduct Y?