The Winfield Distributing Company has maintained an 80% service level policy for inventory of string trimmers. Mean demand during the reorder period is 200 trimmers, and the standard deviation is 65 trimmers. The annual cost of carrying one trimmer in inventory is $6. The area salespeople have recently told Winfield's management that they could expect a $300 improvement in profit (based on current figures of cost per trimmer) if the service level were increased to 95%. Is it worthwhile for Winfield to make this change?
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- Daily demand for product sample kits is normally distributed with a mean of 35 units and a standard deviation of 4. Supply is virtually certain with a lead time of 9 days. The cost of placing an order is $20, and annual carrying costs for one kit is 25 percent. The price of one kit is $12.50. Assume a year has 365 days.If a 99% service level is desired, what is average inventory on hand? If demand had no variation, what would the reorder point be?The manager of a car wash received a revised price list from the vendor who supplies soap, and a promise of a shorter lead time for deliveries. Formerly the lead time was four days, but now the vendor promises a reduction of 25 percent in that time. Annual usage of soap is 4,500 gallons. The car wash is open 360 days a year. Assume that daily usage is normal, and that it has a standard deviation of 2 gallons per day. The ordering cost is $30 and annual carrying cost is $3 a gallon. The revised price list (cost per gallon) is shown in the following table: Quantity 1 - 399 400 799 800 + Unit Price $2.00 1.70 1.62 Click here for the Excel Data File a. What order quantity is optimal? (Round your intermediate calculations to 2 decimal places and final answer to the nearest whole number.) Optimal order quantity ROP b. What ROP is appropriate if the acceptable risk of a stockout is 1.5 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) gallons…The manager of a car wash received a revised price list from the vendor who supplies soap, anda promise of a shorter lead time for deliveries. Formerly the lead time was four days, but now thevendor promises a reduction of 25 percent in that time. Annual usage of soap is 4,500 gallons. Thecar wash is open 360 days a year. Assume that daily usage is normal, and that it has a standarddeviation of 2 gallons per day. The ordering cost is $30 and annual carrying cost is $3 a gallon.The revised price list (cost per gallon) is shown in the following table.Quantity Unit Price1−399 $2.00400−799 1.70800 + 1.62a. What order quantity is optimal?b. What ROP is appropriate if the acceptable risk of a stockout is 1.5 percent?
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- X Ltd buys & uses a component for production at 10/piece Annual requirement is 2000 pieces. Carrying cost of inventary is 10% per annum & ordering cost is 40/order. The purchase manager proposes that a single order to be placed for the entire annual requirement. If X Ltd order 2000 piece at a time we get a 3% discount. Evaluate this proposal & make your recommendationB). As an inventory manager, you must decide on the order quantity for an item. Its annual demand is 679 units. Ordering costs are $7 each time an order is placed, and the holding cost is 10% of the unit cost. Your supplier provided the following price schedule. Quantity Price per Unit 1 - 100 $5.65 101 - 350 $4.95 351 or more $4.55 What ordering-quantity policy do you recommend?Charlie’s Pizza orders all of its pepperoni, olives, anchovies, and mozzarella cheese to be shipped directly from Italy. An American distributor stops by every four weeks to take orders. Because the orders are shipped directly from Italy, they take three weeks to arrive. Charlie’s Pizza uses an average of 150 pounds of pepperoni each week, with a standard deviation of 30 pounds. Charlie’s prides itself on offering only the best-quality ingre- dients and a high level of service, so it wants to ensure a 98 percent probability of not stocking out on pepperoni. Assume that the sales representative just walked in the door and there are currently 500 pounds of pepperoni in the walk-in cooler. How many pounds of pepperoni would you order?