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- Problem 20-36 (Algo) Palin’s Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Annual demand 3,910 mufflers Ordering cost $ 75 per order Standard deviation of daily demand 6 mufflers per working day Service probability 87 % Item cost $ 27.00 per muffler Lead time 2 working days Annual holding cost 36 % of item value Working days 230 per year Review period 18 working days a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Optimal target level_________________ b. If the…Describe the difference between a fixed-quantity (Q) anda fixed-period (P) inventory system.Define each of the following terms: c. Economic Ordering Quantity (EOQ); EOQ model; EOQ range
- Green 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.Given this information:Lead-time demand 600 poundsStandard deviation of lead time demand 52 pounds (Assume normality.)Acceptable stockout risk during lead time 4 percenta. What amount of safety stock is appropriate?b. When should this item be reordered?c. What risk of stockout would result from a decision not to have any safety stock?UNCERTAIN DEMAND Lead time demand for an item averages 100 units, with a standard deviation of 30. The order quantity is 200 units. Management desires that 99 percent of all demand be met from stock. a) What is the optimal order point? b) Suppose management wanted a 98 percent service level; what would be optimal order point be c)Suppose management wanted 90 service level. Compute the optimal order point
- ABC analysis on the following set of products Item Annual Demand Unit CostA 211 800 R9B 390 100 R90C 003 450 R6D 100 400 R100E 707 85 R2,000F 660 250 R320G 473 500 R75H 921 100 R75 Soft goods department sells 175 units per month of a certain large bath towel. The unit cost of a towel to the manufacturer is R2.50 and the cost of placing an order has been estimated to be R12.00. There is an inventory carrying charge of 27% of the unit cost per year. What is the optimal order quantity, the order frequency, and the annual holding and setup cost. If the ordering cost can be cut to R4.00, what will be the new economicorder quantity, the order frequency, and annual holding and setup costs.ECUR UMIC ORDER QUANTITY CALCULATIONS (2 QUESTIONS) Company uses 800 units of a product per year on a continuous basis. The product year and order costs of $300 per order. It takes 30 days to receive a shipment after an order is placed and the a safety stock of 5 days usage in inventory. has carrying costs of $50 A. Calculate the economic order quantity a. 98 B. Determine the reorder a. 150 days (3 CASH DISCOUNTS point. ONS) (Assume (EOQ). a 360-day year.) per unit per firm requiresProblem 20-30 (Algo) It is your responsibility, as the new head of the automotive section of Nichols Department Store, to ensure that reorder quantities for the various items have been correctly established. You decide to test one Item and choose Michelin tires, XW size 185 x 14 BSW. A perpetual inventory system has been used, so you examine this, as well as other records, and come up with the following data: Cost per tire Holding cost Demand Ordering cost Standard deviation of daily demand Delivery lead time Order quantity $ tires 50 each percent of tire cost per year Because customers generally do not wait for tires but go elsewhere, you decide on a service probability of 90 percent. Assume the demand occurs 365 days per year. a. Determine the order quantity. (Round your answer to the nearest whole number.) 15 1,100 per year $ 22 per order 4 tires 5 days
- Xemex has collected the following inventory data for the six items that it stocks: ITEM CODE UNIT COST ($) ANNUAL DEMAND (UNITS) ORDERING COST ($) CARRYING COST AS A PERCENTAGE OF UNIT COST 1 10.60 600 40 20 2 11.00 450 30 25 3 2.25 500 50 15 4 150.00 560 40 15 5 4.00 540 35 16 6 4.10 490 40 17 Lynn Robinson, Xemex’s inventory manager, does not feel that all of the items can be controlled. What ordered quantities do you recommend for which inventory product(s)?Subject: Logistic management Q): Calculate EOQ where as Annual demand is 2543570 units Ordering cost per order is 78, Inventory carrying cost per unit is 167Describe the 3 differences between a fixed-quantity (Q) and a fixed-period (P) inventory ns4 a. system? Fixed Quality Inventory Fixed Period Inventory