Demand Probability 1 10% 2 10% 3 20% 4 20% s 20% 6 10% 7 10% The demand forecast for World Series t-shirts is normally distributed with mean 35,000 and standard deviation 5,000. T- shirts cost $10 and sell for $20. Assume that unsold t-shirts can be sold to a discount shop for $5 each. Question 7 (3 points): Calculate the critical fractile. Question 8 (3 points): Calculate the optimal stocking quantity. Question 9 (3 points): Calculate the safety stock level. Question 10 (2 points): What is the probability that demand for T-shirts will be between 20,000 and 30,000? Question 11 (3 points): Suppose that the stocking level is 50,000. What is the corresponding customer service level? i.e. what is the p=P(DQ) given Q=50,000? Question 12 (10 points): Suppose that the stocking level is 50,000. What is the expected profit