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A gym charges customers for the exact amount of time they spend in the gym based on a price per hour. The marginal cost ofa customer spending an hour in the gym is constant and equal to 2. There are two customers. Customer 1's demand for hours at the gym is 01:10 - 2P; customer 2's demand for hours at the gym is Q2: 13 - 3P. (a) Suppose the gym must offer both customers the same hourly price. What price should the gym charge to maximise profit? What is the maximum prot the gym can make? (b) Suppose the gym can charge the two customers different hourly prices. What price should it charge customer 1 to maximise profits? What price should it charge customer 2 to maximise profits? What is the maximum prot the gym can make? (c) Suppose the gym decides to charge 2 per hour plus a membership fee. What membership fee should it charge to maximise prots? What is the maximum prot the gym can make? Please answer all parts of the