Problem 1 At a price of $40 for a two-hour harbor tour, a water-tour company attracts 200 customers. For every $1 decrease in price, an additional 5 customers are attracted. The cost of carrying x customers in the tour is C(x) = 3,000 + 5x + 0.01x². a) Find the demand function; express the price, p, as a function of x, the number of customers. b) Find the revenue function R(x). c) Find the marginal revenue function. d) Find the profit function.

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