SnowBirds is trying to decide on how many snowboards to purchase at the start of the upcoming selling season. A snowboard has a retail price of$35.. The manufacturer sells a snowboard to SnowBirds for SED. SnowBirds will sell of all of the unsold snowboards for $150 at the end of the selling season. SnowBirds estimates that demand for the snowboards during the season is normally distributed with a mean of Lill and a standard deviation of 5430. a. Suppose SnowBirds wants to maximize expected prots from the sale of the snowboard. How many snowboards should they order from the manufacturer\"! Report your answer as an integer. b. Suppose SnowBirds orders 3.3 snowboards. What is the expected prot'.J Report your answer to two decimal places. c. Suppose SnowBirds orders 3.4 snowboards. How many of these snowboards can SnowBirds expect to sell at the discount price of SIED. Report your answer to two decimal places. d. How many snowboards should they order if they want to minimize their inventory while ensuring that the stockout probability is no greater than 4%? Report your answer as an integer