12.4 Demand for ice cream at the Ouachita Dairy can be approximated by a normal distribution with a mean of 47 gallons per day and a standard deviation of 8 gallons per day. The new management desires a service level of 95%. Lead time is four days; the dairy is open seven days a week. What reorder point would be consistent with the desired service level?
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- H & K Electronic Warehouse sells a 12-pack of AAA batteries, and this is a very popular item. Demand for this is normally distributed, with an average of 50 packs per day and a standard deviation of 16. The average delivery time is 5 days, with a standard deviation of 2 days. Delivery time has been found to be normally distributed. A 96% service level is desired. What is the standard deviation of demand during the lead time? How much safety stock should be carried, and what should be the reorder pointInventory Management Reorder The ToyWorld company produces toys out of plastic ordered from an outside supplier. ToyWorld's daily demand for plastic is normally distributed with a mean of 7,800 pounds and a standard deviation of 1,050 pounds. Lead time is 16 days. (Use the Formula Sheet Z table to determine Z values.) What is the service level if ToyWorld reorders when the plastic inventory reaches 134,586 pounds?Fisk Corporation is trying to improve its inventory control system and has installed an online system at its retail stores. Fisk anticipates sales of 58,800 units per year, an ordering cost of $4 per order, and carrying costs of $1.50 per unit. In the second year, Fisk Corporation finds that it can reduce ordering costs to $1 per order, but carrying costs will stay the same at $1.50 per unit. a-1. What is the economic ordering quantity for the second year? Economic ordering quantity (EOQ) a-2. How many orders will be placed during the second year? Number of orders a-3. What will the average inventory be for the second year? Average inventory Total costs units units a-4. What is the total cost of ordering and carrying inventory for second year? LA
- A pharmacist is trying to determine the inventory order and stock levels for a particular drug. The following information is available about the drug. Demand (D) 85 tablets/week Working weeks per year 52 weeks Unit holding cost per year (H) $6 Order cost (S) $44/order Standard deviation of weekly demand (sd) 15 tablets Lead time (L) 2 weeks Desired cycle service level 95% If the pharmacist uses the continuous review (Q) system to control the inventory of the drug, what would be the order quantity and reorder point? If the pharmacist uses the periodic review (P) system to control the inventory of the drug, what would be the review interval and target inventory level? (Hint: Use the EOQ model to derive the review interval P)University Drug Pharmaceuticals orders its antibiotics every two weeks (14 days) when a salesperson visits from one of the pharmaceutical companies. Tetracycline is one of its most prescribed antibiotics, with average daily demand of 2,000 capsules. The standard deviation of daily demand was derived from examining prescriptions filled over the past three months and was found to be 800 capsules. It takes f ive days for the order to arrive. University Drug would like to satisfy 99 percent of the prescriptions. The salesperson just arrived, and there are currently 25,000 capsules in stock.How many capsules should be ordered?University Drug Pharmaceuticals orders its antibiotics every two weeks (14 days) when a salesperson visits from one of the pharmaceutical companies. Tetracycline is one of its most prescribed antibiotics, with average daily demand of 2,000 capsules. The standard deviation of daily demand was derived from examining prescriptions filled over the past three months and was found to be 800 capsules. It takes five days for the order to arrive. University Drug would like to satisfy 99 percent of the prescriptions. The salesperson just arrived, and there are currently 25,000 capsules in stock. How many capsules should be ordered?
- GameStop has maintained 75% service level for inventory of PlayStation 5. Mean demand during lead time is 166 PlayStations, and the standard deviation during lead time is 58 PlayStations. The annual cost of carrying one PlayStation in inventory is $12. The store’s operations analyst recently told GameStop's management that they could expect a $550 improvement in profit (based on current figures of cost per PlayStation) if the service level were increased to 97.5%. Is it worthwhile for GameStop to make this change?Alina Limited is a manufacturer of widgets orders components for use in manufacturing. The estimated demand for the components during the coming year is 15,000. Order costs are $100 per order; carrying costs are $12 per component. Using the economic order quantity model What is Alina Ltd’s optimum order quantity? If the supplier guarantees a three (3) day delivery on any order that is placed, What is the re-order point?Daily demand for product sample kits is normally distributed with a mean of 35 units and a standard deviation of 4. Supply is virtually certain with a lead time of 9 days. The cost of placing an order is $20, and annual carrying costs for one kit is 25 percent. The price of one kit is $12.50. Assume a year has 365 days.If a 99% service level is desired, what is average inventory on hand? If demand had no variation, what would the reorder point be?
- A sporting goods company has a distribution center that maintains inventory of fishing rods. The fishing rods have the following demand, lead time, and cost characteristics: Average demand = 130 units per day, with a standard deviation of 12 units Average lead time = 12 days with a standard deviation of 1 day 250 days per year in the business year Unit cost = $28 Desired service level = 97.5% Ordering cost $53 Inventory carrying cost = 25% a. What is the standard deviation of demand during lead time? b. How many fishing rods should the distribution center carry to provide the desired service level? c. What is the EOQ? d. What is the average cycle stock?David's Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimates that the demand for the salamis is pretty steady at 175 per month. The salamis cost Gold $1.85 each. The fixed cost of calling his brother in New York and having the salamis flown in is $200. It takes three weeks to receive an order. Gold's accountant, Irving Wu, recommendsan annual cost of capital of 22 percent, a cost of shelf space of 3 percent of the value of the item, and a cost of 2 percent of the value for taxes and insurance. How many salamis should Gold have on hand when he phones his brother to send another shipment?David’s Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimates that the demand for the salamis is pretty steady at 175 per month. The salamis cost Gold $1.85 each. The fixed cost of calling his brother in New York and having the salamis flown in is $200. It takes three weeks to receive an order. Gold’s accountant, Irving Wu, recommends an annual cost of capital of 22 percent, a cost of shelf space of 3 percent of the value of the item, and a cost of 2 percent of the value for taxes and insurance.a. How many salamis should Gold have flown in and how often should he order them?b. How many salamis should Gold have on hand when he phones his brother to send another shipment?c. Suppose that the salamis sell for $3 each. Are these salamis a profitable item for Gold? If so, what annual profit can he expect to realize from this item? (Assume that he operates the system optimally.)d. If the salamis…