a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons) b. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). (Ans: TC= $2880) c. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed? (Ans= R=300 tons)
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- 13.13 The TransCanada Lumber Company and Mill processes 10,000 logs annually, operating 250 days per year. Immediately upon receiving an order, the logging company's supplier begins delivery to the lumber mill at the rate of 60 logs per day. The lumber mill has determined that the ordering cost is $1600 per order, and the cost of carrying logs in inventory before they are processed is $15 per log on an annual basis. Determine the following: a. The optimal order size b. The total inventory cost associated with the optimal order quantity c. The number of operating days between orders d. The number of operating days required to receive an orderThe 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?I NEED IT TODAY, 1. B&H needs to decide how to manage its inventory of cameras. The demand for cameras at B&H is 200 cameras per week. Each time that B&H places an order for a new shipment of cameras, it must pay $80 in fixed processing fees. A camera costs B&H $60 to purchase. The cost for B&H to hold a camera in its store for one week is $4. Assume that the lead time for the delivery of a camera is 0 weeks.a. Suppose that B&H places orders for cameras in quantities of 50 cameras at a time and places a new order for cameras each time that it runs out. Draw a graph showing the number of cameras that B&H has on-hand in inventory at each point in time up until the time when it places its fourth order. Label the points in time at which B&H places a new order. Assume that B&H places its first order for 50 cameras on day 0.b. Suppose again that B&H places orders for 50 cameras at a time. What will be B&H’s average holding costs per week? What will…
- Catlea Merchandising is engaged in selling school shoesfor both boys and girls in their teenage years. Catlea needs 32,000 pairs of shoes in a year in order to satisfy the market demand. It costs ₱ 48 to place an order while ₱ 8 is needed to hold each quantity of shoe in Catlea's inventory. Upon checking on Catlea's supplier, it takes 8 days in between placing an order and eventually receiving it. a. Determine the Economic Order Quantityb. Determine the number of order per monthc. Determine the reorder pointDiscount-Mart, a major East Coast retailer, wants todetermine the economic order quantity (see Chapter 12 for EOQformulas) for its halogen lamps. It currently buys all halogenlamps from Specialty Lighting Manufacturers in Atlanta. Annualdemand is 2,000 lamps, ordering cost per order is $30, and annualcarrying cost per lamp is $12. a) What is the EOQ?b) What are the total annual costs of holding and ordering(managing) this inventory?c) How many orders should Discount-Mart place with SpecialtyLighting per year?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
- Given the following information, formulate an inventory management system. The item is demanded 50 weeks a year. PARAMETER Item cost Order cost Annual holding cost Annual demand Average weekly demand Standard deviation of weekly demand. Lead time. Service probability Optimal order quantity Reorder point units units VALUE $12.00 $194.00/order 21% of item cost 24,700 units 494 /week 20 units 2 week 95% a. Determine the order quantity and reorder point. (Use Excel's NORMSINV() function to find your z-value and then round that z- value to 2 decimal places. Do not round any other intermediate calculations. Round your final answers to the nearest whole number.)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?example 15.1 Economic Order Quantity and Reorder Point Find the eco- nomic order quantity and the reorder point, given Annual demand (D) = 1,000 units Average daily demand (d) = 1,000/365 Ordering cost (S)= $5 per order Holding cost (H) = $1.25 per unit per year Lead time (L) = 5 days Cost per unit (C) = $12.50 %3D %3D %3D What quantity should be ordered?
- Question 1 For supply item ABC, Andrews Company has been ordering 400 units per week. A new purchasing agent has been hired by the company who wants to start using the economic-order- quantity method and its supporting decision elements. She has gathered the following information: Annual demand in units Lead time, in days Ordering costs Insurance and handling costs Purchase price per unit Return on cash investment 20,800 5 $22 $7 $15 15% RequiredEOQ, reorder point, and safety stock Alexis Company uses 916 units of a product per year on a continuous basis. The product has a fixed cost of $60 per order, and its carrying cost is $3 per unit per year. It takes 5 days to receive a shipment after an order is placed, and the firm wishes to hold 10 days' usage in inventory as a safety stock. a. Calculate the EOQ. b. Determine the average level of inventory. (Note: Use a 365-day year to calculate daily usage.) c. Determine the reorder point. d. Indicate which of the following variables change if the firm does not hold the safety stock: (1) order cost, (2) carrying cost, (3) total inventory cost, (4) reorder point, (5) economic order quantity. a. Alexis' EOQ is units. (Round to the nearest whole number.)The distribution manager for Putnam Corporation is trying to establish the most economic ordering policy for the standard model of its best-selling microwave oven. He has control of the finished goods warehouse for the factory and must satisfy wholesaler demand. The following information is available: Wholesale value $100 Annual demand 50,000 units Std. Deviation of Demand 30 units per day Working year 250 days Production lead time 9 days Ordering cost for production $1,800 Holding cost per unit per year 20% of value Desired service level 96 percent: If Putnam wishes to use the periodic review system, what should be the safety stock, reorder point? If the current on hand inventory is 1,000 units, how many units should be ordered?