Suppose that 2,000 people are interested in attending ElvisLand. Once a person arrives at ElvisLand, his or her demand for rides is given by x = max{ 5 – p, 0}, where p is the price per ride. There is a constant marginal cost of $2 for providing a ride at ElvisLand. If ElvisLand charges a profit-maximizing two-part tariff, with one price for admission to ElvisLand and another price per ride for those who get in. How much should it charge per ride and how much for admission? Correct answer is $2 per ride and $4.50 per admission, how does one solve this problem?

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