You operate a small tee-shirt silk screening company. Your schools basketball team Spider has just made it to the Championship game which will be played in one week You are considering sering tee-shirts with Spider Championsblazed across the top of the shirt along with the tear's mascot. If the team indeed wins these shirts wide! extremely well, but if they lose.then the demand will be very low. Unfortunately, you must print the shirts before the game because otherwise there will not be enough time to take advantage of the hype. You estimate that the demand is a normal random variable with a mean of 15,000 and standard deviation 6.000.it costs 5550 to buy and so Screen each shiit, you will sell these shirts for 512.50 each and any leftover shirts (whether the team wins or loses) can be sold to a liquidator for 52.50 each How many thirts should you print to maximize your expected profit? Assume a value of 0.25 7500 13500 1.234 16.500 QUESTION 36 Hampton Inn has 150 rooms with standard queen beds. Due to customer no-shows. Hampton Inn is considering implementing overbooking. The Inn has 150 rooms. And the price per night is 5150. The forecast of no-show is a normal atribution with mean 15.5. standard deviation of the inn is sensitive about the quality of service it provides so it estimates the cost of failing to honor a reservation is $300 in fost goodwill and explicit expenses What is the optimal overbooking lmt which is the maximum reservation above the available 150 rooms that the inn should accept? Assume zis 0.43 25 14 13