8. 4 The Western Jeans Company purchases denim from Cumberland Textile Mills. The Western Jeans Company uses 35,000 yards of denim per year to make jeans. The cost of ordering denim from the textile company is $500 per order. It costs Western $0.35 per yard annually to hold a yard of denim in inventory. Determine the optimal number of yards of denim the Western Jeans Company should order, the minimum total annual inventory cost, the optimal number of orders per year, and the optimal time between orders. ( Ans: Q=10000 yards: TC=$3500; No. of orders=3.5 per year; Time between orders= 104.3)
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- A local distributor for Hankook tires Company expects to sell 12,600 R14 radial tires nest year. The estimated cost of keeping a R14 tire per annum is ȼ126 and ordering cost is ȼ70. a) What is the optimal order quantity? b) How many times per year does the distributor order R14 tires? c) What is the length of an order cycle, if the company does not operate on Saturdays and Sundays? d) What is the annual total cost if the optimal quantity is ordered?The Wallace Stationary Company purchases paper from the Seaboard Paper Company. Wallace produces stationary that require 1,415,000 sq. yards of stationary per year. The cost per order for the company is $2,200; the cost of holding 1 yard of paper in inventory is $0.08 per year. Determine the following: a. Economic order quantity b. Minimum total annual cost c. Optimal number of orders per year d. Optimal time between ordersA car rental agency uses 96 boxes of staples a The boxes cost $4 each. It costs $10 to order staples, and carrying costs are $0.80 per box on an annual basis. Determine: the order quantity that will minimize the sum of ordering and holding boxes of staples the annual cost of ordering and carrying the boxes of staples
- Banana Inc. a Company that markets skin care products . The annual demond is 2400 units and ordering cost is 10 per order . The holding cost per year is 0.30 .Amount of the working days of the is 250 days in a year , Lead time of the order is 2 days . a. What is the optimal order size? b. What is the optimal number of orders per year? c. What is the optimal number of days between orders? d. What is the annual inventory cost? e. If the lead time were 2 days, what would be the reorder point? f. For what value of ordering cost would 1000 units of order size be optimal? g. Determine how often the firm should order. h. Determine the size of each order ı. At what price should the firm order?An organization manufactures supplies for landscaping companies which has an annual demand of 16,000. The cost of storing each unit is $2.5/year and $50 to make an order. Say the company has 300 days of annually, answer the following questions: a. What is the optimal order quantity? b. How many orders in a year? c. How many days between orders? d. How much is the total inventory cost?Happy Pet, Inc., is a large pet store located in LongBeach Mall. Although the store specializes in dogs, it a lso sellsfish, turtle, and bird supplies. The Everlast Leader, a leather leadfor dogs, costs Happy Pet $7 each. There is an annual demand for6,000 Everlast Leaders. The manager, Stephan Wagner, has determinedthat the ordering cost is $20 per order and the carrying cost,as a percentage of unit cost, is 15%. Happy Pet is now consideringa new supplier of Everlast Leaders. Each lead would cost only$6.65, but, in order to get this discount, Happy Pet would have tobuy shipments of 3,000 at a time. Should Happy Pet use the newsupplier and take this discount for quantity buying?
- Custom Computers, Inc. assembles custom home computer systems. The heat sinks needed are bought for $12 each and are ordered in quantities of 1300 units. Annual demand is 5200 heat sinks, the annual inventory holding cost rate is $3 per unit, and the cost to place an order is estimated to be $50. Calculate the following: (a) Average inventory level (b) The number of orders placed per year (c) The total annual inventory holding cost (d) The total annual ordering cost (e) The total annual costA car rental agency uses 96 boxes of staples a year. The boxes cost $5 each. It costs $10 to order staples, and it costs $0.80 to hold a box of staples in inventory for 1 year. A.) How many boxes of staples should the car rental company order each time it needs staples, to minimize the combined ordering and holding costs for staples? B.) Using the order size that minimizes the car rental agency’s combined ordering and holding costs for staples, how long will a single order of staples last the agency, before it must receive more staples? (Assume there are 52 weeks in the year for the car rental agency.) C.) Using the order size that minimizes the car rental agency’s combined ordering and holding costs for staples, how much does the car rental agency actually spend on holding costs for staples each year?Rick Jerz is attempting to perform an inventory analysison one of his most popular products. Annual demand for thisproduct is 5,000 units; ca rrying cost is $50 per unit per year; ordercosts for his company typically run nearly $30 per order; and leadtime averages I 0 days. (Assume 250 working days per year.)a) What is the economic order quantity?b) What is the average inventory?c) What is the optimal number of orders per year?d) What is the optimal number of working days between orders?e) What is the total annual inventory cost (carrying cost+ ordering cost)?t) What is the reorder poi nt?
- The annual demand for a product is 15,200 units. The weekly demand is 292 units with a standard deviation of 80 units. The cost to place an order is $33.50, and the time from ordering to receipt is two weeks. The annual inventory carrying cost is $0.10 per unit. a. Find the reorder point necessary to provide a 90 percent service probability. (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Round "z" value to 2 decimal places.)\ b. Suppose the production manager is asked to reduce the safety stock of this item by 45 percent. If she does so, what will the new service probability be? (Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Round "z" value to 2 decimal places and final answer to 1 decimal place.)4 In the EOQ model, determining the optimal order quantity requires us to ______. a increase number of orders along with quantity ordered at any time b strike a balance between quantity and quality of materials ordered c strike a balance between ordering and holding costs d increase number of orders depending on the volume discounts provided 6 The total cost in the EOQ is ______. a insensitive to minor deviations in the order quantity from the EOQ amount b sensitive to minor deviations in the order quantity from the EOQ amount c insensitive to major deviations in the order quantity from the EOQ amount d sensitive to deviations in the order quantity from the EOQ amount by more than 20% 7 Sales and operations planning deal with ______ decision-making. a strategic b tactical c operational d weeklyAt Dot Com, a large retailer of popular books, demand isconstant at 20,400 books per year. The cost of placing anorder to replenish stock is $35, and the annual cost of holdingis $6 per book. Stock is received 5 working days after an orderhas been placed. No backordering is allowed. Assume 250working days a year.a. What is Dot Com’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) betweenorders?