A factory orders supplies every 8 days. The lead time for deliveries is 3 days. Demand for butter averages 20 pounds per day with a standard deviation of 2.3 pounds. The holding cost for butter is $0.37 per pound per day. The factory wants to achieve an in-stock probability rate of 99.87% for butter. On average, how many pounds of butter will the factory have on order?

A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co probability distribution with μ = 25 and σ = 5. (a) What is the recommended order quantity? (Round your answer to the nearest integer.) = $23.50 and C = $9. The demand exhibits some variability such that the lead-time demand follows a normal (b) What are the reorder point and safety stock if the store desires at most a 4% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.) reorder point safety stock (c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.) How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)

A retailer has two stores selling the same product. Weekly demand at store 1 is normally distributed with a mean of 100 and a standard deviation of 10, while weekly demand at store 2 is normally distributed with a mean of 150 and a standard deviation of 25. Demand at the two stores is independent. The retailer orders from a supplier with a 1 week lead time using a periodic review policy with a review period of 1 week, and targets a 95% service level. If the retailer wants to centralize inventory across the two stores, i.e., hold just one stock of inventory to serve demand from both stores, what should the order-up-to level be? PLEASE SHOW CALCULATION

AAA auto supply store sells snow tires which are ordered every Friday to meet next week's demand. The sales price for the most popular size is $50 per tire and its cost for AAA is $35. If too many tires are ordered AAA incurs an inventory carrying cost of $2 per tire. If AAA is out of stock, it forgoes the profits from missed sales. AAA has the option to order 100, 150, or 200 tires to meet next week's demand which can be either 100, 150, or 200 tires.Based on its historical demand distribution, assume that AAA Inc. has determined the followingprobability information: P(100) = 0.4, P(150) = 0.3, and P(200) = 0.3 ​e. Which alternative should be chosen based on the minimax regret criterion?      f. Which alternative should be chosen using the expected monetary value (EMV) criterion? ​g. What is the expected value under perfect information (EVPI)?  Show Work

A food processor purchases corn for use in its products. The firm uses 700 pounds of corn per week and purchases corn for $0.45 per pound from a supplier. The cost to hold one pound of corn in inventory for one year is $0.09. Each time the firm orders corn from the supplier, the firm must pay a $48 order processing charge. Assume there are 52 weeks in a year and round your answer to the nearest integer value. What is the optimal order quantity (in pounds)? pounds

Andy's Auto Dealership (AAD) is a family-run auto dealership selling both new and used vehicles. In an average month, AAD sells a total of 160 vehicles. New vehicles represent 60 percent of sales, and used vehicles represent 40 percent of sales. Max has recently taken over the business from his father. His father always emphasized the importance of carefully managing the dealership's inventory. Inventory financing was a significant expense for AAD. Max's father consequently taught him to keep inventory turns as high as possible. Examining the dealership's performance over recent years, Max discovered that AAD had been turning its inventory (including both new and used vehicles) at a rate of 8 times per year. What is AAD's average inventory (including both new and used vehicles)? Drilling down into the numbers, Max has determined that the dealerships new and used businesses appear to behave differently. He has determined that turns of new vehicles are 7.2 per year, while turns of used…

A manufacturing plant procures 100,000 filters per year.  Each unit has a fixed order cost is $50. To maintain the inventory in optimal conditions, there is a carrying cost rate of 10% per year. The vendor of filters has offered the following price breaks: for orders of more than 5,000 filters, cost is $4.50/unit; for orders between 1,000 and 5,000 filters, cost is $4.75/unit; orders less than 1,000 filters have a cost of $5.00/unit.    Find the economic order quantity. Calculate the average annual cost for the optimal solution.

At Dot Com, a large retailer of popular books, demand is constant at 17,000 books per year. The cost of placing an order to replenish stock is $8, and the annual cost of holding is $3.00 per book. Stock is received 12 working days after an order has been placed. No backordering is allowed. Assume 250 working days a year. books. (Enter your response rounded to the nearest whole number.) orders. (Enter your response rounded to the nearest a. Dot Com's optimal order quantity is 301 b. The optimal number of orders per year is whole number.)