1. An apartment complex has 150 two-bedroom units. The manager has determined that the monthly revenue for renting out x apartments can be estimated by the function R(x) = -0.1x3+ 10x? + 400x and that the monthly costs can be estimated by the function C(x) = 150x + 12,000. a) Write the profit P as a function of the number of apartment units rented out. b) Determine the marginal profit function. c) Compute the marginal profit when x = 50 and interpret your answer in context of the problem.

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