5. A seasonal product costs $75 and sells for $95. Units leftover at the end of the season can be sold for $50. Demand for the product has a mean of 4,250 with a standard deviation of 725. a. [4 points] What is the optimal quantity of units a store should order to maximize profit? Report your answer as an integer. b. [3 points] A store has space to order 4,000 units. How many units are expected to be leftover at the end of the selling season? Report your answer to two decimal places. c. [3 points] A store places an order for 4,500 units. What is the expected profit? Report your answer to two decimal places. d. [3 points] At the optimal order size what is the expected profit? Report your answer to two decimal places. e. [3 points] At the optimal order size, what is the expected number of units that do not sell? Report your answer to two decimal places. f. [3 points] At the optimal order size and if each customer only purchases one unit, how many customers will be turned away because the store runs out of product? Report your answer as an integer.