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Suppose a rm faces two groups of customers in a market. The rm charges customers both a per-unit price (P) and a membership fee (F). The xed costs of this rm are negligible and its marginal costs are equal to 510. Group 1 has 40 members and each has a direct demand of Q1 (P1) =350 -2P1. Group 2 has 60 members and each has a direct demand of 02 (P2) = 210 - 2P2. Assuming the firm is able to price discriminate, calculate the per-unit price (P) and membership fee (F) charged to each customer group. Also calculate the rm's prots. Do not round intermediate values and submit your answers rounded to two decimal places. Group 1. Perunit price: . Membership fee: Group 2. Per-unit price: . Membership fee: Prots: Now suppose that a law is passed that prevents the rm from price discriminating. What are the prot-maximizing per-unit price and membership fee if they are based on the preferences of the consumers in Group 2? Do not round intermediate values and submit your answers rounded to two decimal places. Hint: you'll need to factor in the membership of the two groups in your prot-maximization problem. Per-unit price: . Membership fee