The assignment is due on Friday, November 13. Problem 1 Beauty Store sells Jami Michelle lipstick. The Jami Michelle Company offers a 6% discount on orders of at least 500 tubes, a 10% discount on orders of at least 1,000 tubes and a 12% discount on orders of at least 1,800 tubes. Beauty Store sells an average of 40 tubes of Jami Michelle lipstick weekly. The normal price paid by Beauty Store is $5 per tube. If it costs Beauty Store $30 to place an order, and Beauty's annual holding cost rate is 20% Determine the optimal order policy for Beauty Store. You will be asked to enter specific numbers that you calculated to solve this problem in the online questions. Problem 2 A perishable dairy product is ordered daily at a particular supermarket. The product which costs $1.19 per unit, sells for $1.65 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit.Assume that daily demand is approximately normally distributed with u = 150 and a = 30. a. What is your recommended daily order quantity for the supermarket? b. What is the probability that the supermarket will sell all the units it orders? In problems such as these, why would the supplier offer a rebate as high as SI? For example, why not offer a nominal rebate of, say, 25 per unit? What happens to the supermarket order quantity as the rebate is reduced? c