Consider a product with a daily demand of 500 units, a setup cost per production run of $100, a daily holding cost per unit of $0.20, and an annual production rate of 219,000 units. The firm operates and experiences demand 365 days per year. Suppose that management mistakenly used the basic EOQ model to calculate the batch size instead o
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Consider a product with a daily demand of 500 units, a setup cost per production run of $100, a daily holding cost per unit of $0.20, and an annual production rate of 219,000 units. The firm operates and experiences demand 365 days per year. Suppose that management mistakenly used the basic EOQ model to calculate the batch size instead of using the production order quantity model. How much money per year has that mistake cost the company?
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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.A drugstore uses fixed-order cycles for many of the items it stocks. The manager wants a service level of .95. The order interval is 14 days, and lead time is 2 days. Average demand for one item is 65 units per day, and the standard deviation of demand is 3 units per day. Given the on-hand inventory at the reorder time for each order cycle shown in the following table. Use Table. Cycle On Hand 40 12 95 Click here for the Excel Data File Determine the order quantities for cycles 1, 2, and 3: (Round your answers to the nearest whole number.) Cycle Units 1 2 3As 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.
- Suppose the following item is being managed using a fixed-order quantity model with safety stock. Annual Demand = 100,000 units Order quantity = 30,000 units Safety stock = 4000 units What are the average inventory level and inventory turnover for this item?You are trying to figure out how much inventory to keep. Your boss has said that your objective is to have a 95% chance of not running out while waiting for the order to come in. Your lead time is 5 days. The holding cost per unit is $4, the ordering cost is $60, the average demand per day is 40, with standard deviation of 20. Annual demand is 1000 units. What is your reorder point?Daily demand for a certain product is normally distributed, with a mean of 100 and a standard deviation of 15. The supplier is reliable and maintains a constant lead time of 5 days. The cost of placing an order is $10 and the cost of holding inventory is $0.50 per unit per year. There are no stock-out costs, and unfilled orders are filled as soon as the order arrives. Assume sales occur over 360 days of the year. Your goal here is to find the order quantity and reorder point to satisfy a 90 percent probability of not stocking out during the lead time.a. What type of system is the company using?b. Find the order quantity.c. Find the reorder point.
- Item X is a standard item stocked in a company's inventory of component parts. Each year the firm, on a random basis, uses about 1,800 of item X, which costs $25 each. Storage costs, which include insurance and cost of capital, amount to $14 per unit of average inventory. Every time an order is placed for more item X, it costs $18. What is the annual cost for ordering item X?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?Item X is a standard item stocked in a company’s inventory of component parts. Each year, the firm, on a random basis, uses about 2,000 of item X, which costs $25 each. Storage costs, which include insurance and cost of capital, amount to $5 per unit of averageinventory. Every time an order is placed for more of item X, it costs $10.a. Whenever item X is ordered, what should the order size be?b. What is the annual cost for ordering item X?c. What is the annual cost for storing item X?
- Item X is a standard item stocked in a company's inventory of component parts. Each year the firm, on a random basis, uses about 1,500 of item X, which costs $25 each. Storage costs, which include insurance and cost of capital, amount to $5 per unit of average inventory. Every time an order is placed for more of item X, it costs S6. a. Whenever item X is ordered, what should the order size be? (Round your answer to the nearest whole number.) b. What is the annual cost for ordering item X? (Round your answer to 2 decimal places. Round your intermediate calculation.) c. What is the annual cost for storing item X? (Round your answer to 2 decimal places. Round your intermediate calculation.)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?Andy's Job Shop buys two parts (Tegdiws and Widgets) for use in its production system from two different suppliers. The parts are needed throughout the entire 52-week year to assemble Uediracs for sale. Tegdiws are used at a relatively constant rate but the use of Widgets vary with demand. Andy wants to improve his inventory management system and use either a "P" system or a "Q" system. What are the advantages and disadvantages of each system in this application and what information is needed to choose between them?