Rick Jerz is attempting to perform an inventory analysis on one of his most popular products. Annual demand for this product is 5,000 units; carrying cost is $50 per unit per year; order costs for his company typically run nearly $30 per order, and lead time averages 10 days. (Assume 250 working days per year.) a) The economic order quantity is units (round your response to the nearest whole number). b) The average inventory is units (round your response to the nearest whole number). c) The optimal number of orders per year is orders (round your response to the nearest whole number).
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- The chapter presented various approaches for the control of inventory investment. Discuss three additional approaches not included that might involve supply chain managers.Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of 112, 500 units per year, an ordering cost of $3 per order, and carrying costs of $1.20 per unit. a. What is the economic ordering quantity? b. How many orders will be placed during the year? c. What will the average inventory be? d. What is the total cost of ordering and carrying inventory?Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of 97,200 units per year, an ordering cost of $4 per order, and carrying costs of $1.50 per unit. What is the economic ordering quantity? How many orders will be placed during the year? What will the average inventory be? What is the total cost of ordering and carrying inventory?
- 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 $1.50 per unit. a-1. What is the economic ordering quantity for the second year? Economic ordering quantity (EOQ) a-2. How many orders will be placed during the second year? Number of orders a-3. What will the average inventory be for the second year? Average inventory Total costs units units a-4. What is the total cost of ordering and carrying inventory for second year? LAGreen Grass Industries Limited (GGIL) has used a fixed-time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs, are forcing GGIL, to examine alternative ways to reduce the amount of labor involved in inventory stockrooms, yet without increasing other costs, such a shortage costs. Table 10 is a random sample of 20 GGIL's items. Table 10. Annual Usage by Value of a sample of GGIL's Inventory Item Number Annual Usage ($) Item Number Annual Usage ($) 1 10,600 11 2,750 2 14,000 12 1,400 3 4,000 13 3,200 4 16,000 14 2,500 5 8,100 15 110,000 1,800 16 14,800 7 84,000 17 9,500 8. 890 18 1,700 9 940 19 3,700 10 94,000 20 12,500 a) What would you recommend GGIL to do to cut back its labor cost? (Illustrate using an ABC plan). b) Item 18 is critical to continued operations at GGIL. i. How would you recommend it be classified? ii. Give the reason(s) for your answer.A store has collected the following information on one of its products:Demand = 4,500 units/year Standard deviation of weekly demand = 12 units Ordering costs = $40/order Holding costs = $3/unit/year Cycle-service level = 90% (z for 90% = 1.28) Lead-time = 2 weeks Number of weeks per year = 52 weeks a. If a firm uses the continuous review system to control the inventory, what would be the order quantity and reorder point?
- During the last 5 weeks, demands for a certain SKU at a retailer were 7 units (5 weeks ago), 4 units, 4 units, 4 units, and 5 units (last week). The retailer uses a period review model with order-up-to level 71 units, a review period of 2 weeks, and the lead time is 11 weeks. It is time to order. How much should the retailer order?Thomas Kratzer is the purchasing manager for theheadquarters of a large insurance company chain with a centralinventory operation. Thomas’s fastest-moving inventory item hasa demand of 6,000 units per year. The cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. The aver-age ordering cost is $30 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (This is acorporate operation, and there are 250 working days per year.)a) What is the EOQ?b) What is the average inventory if the EOQ is used?c) What is the optimal number of orders per year?d) What is the optimal number of days in between any two orders?e) What is the annual cost of ordering and holding inventory?f ) What is the total annual inventory cost, including the cost ofthe 6,000 units?Dalia, the office manager of a desktop publishing outfit, stocks replacement toner cartridges for laser printers. Demand for cartridges is approximately 30 per year and is quite variable (Le., can be represented using the Poisson distribution). Cartridges cost $100 each and require three weeks to obtain from the vendor. Dalia uses a (Q, r) approach to control stock levels (a). If Dalia wants to restrict replenishment orders to twice per year on average, what batch size Q should she use? If she wants to ensure a service level (i.e., probability of having the cartridge in stock when 2 out of 2 needed) of at least 98 percent, what reorder point r should she use? (Hint: Use Table 2.6.(b). If Dalia is willing to increase the number of replenishment orders per year to six, how do Q and r change? Explain the difference in r.
- As the Manager of Branson’s Department Store, you are responsible for ensuring that reorder quantities for the various items have been correctly established. You decide to test one item and choose product Z. A continuous review inventory policy has been used, so you examine this as well as other records and come up with the following data: Cost per unit $35 Holding cost 20 percent of unit cost Average daily demand 10 units Ordering cost $30 per order Standard deviation of daily demand 3 units Delivery lead time 4 days Because customers generally do not wait but go elsewhere, you decide on a service probability of 90 percent. Assume that Branson’s Department Store operates 320 days per year. [What is the annual demand (D)? Determine the optimal order quantity, Q*. Determine the reorder point (R) if demand is constant. Determine the reorder point (R) if demand is varies.The materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. She knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. She also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four days. If the order size was 1,000 kilograms of resin, what would be the average inventory level?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?