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Tara McCoy is the office administrator for the Department of Management at Slate University. The faculty uses a lot of printer paper and Tara is constantly reordering and frequently runs out. She orders the paper from the university central stores and several faculty have determined that the lead time to receive an order is
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- Don't use chat gptarrow_forwardA manager must set up inventory ordering systems for two new production items, P34 and P35.P34 can be ordered at any time, but P35 can be ordered only once every four weeks. The companyoperates 50 weeks a year, and the weekly usage rates for both items are normally distributed. Themanager has gathered the following information about the items.Item P34 Item P35Average weekly demand 60 units 70 unitsStandard deviation 4 units per week 5 units per weekUnit cost $15 $20Annual holding cost 30% 30%Ordering cost $70 $30Lead time 2 weeks 2 weeksAcceptable stockout risk 2.5% 2.5%a. When should the manager reorder each item?b. Compute the order quantity for P34.c. Compute the order quantity for P35 if 110 units are on hand at the time the order is placed.arrow_forwardAmong the following multi-period inventory models, which one has the highest probability of stockout? A. Fixed Order Quantity with Safety Stock B. Fixed Time Period Model C. Fixed Order Quantity D. Both Fixed Order Quantity & Fixed Order Quantity with Safety Stockarrow_forward
- Mr. Stone has recently installed a vending machine outside a local supermarket to sell a new brand of 12-oz-can soda. Mr. Stone is currently replenishing the vending machine to its full capacity of 1000 cans every Monday morning, i.e., he uses a Base Stock System with review period P=7 days. Based on a recent demand analysis by Mr. Stone, the daily demand follows approximately a normal distribution with mean 140 and a standard derivation of 50. ä (a) What is the current stockout probability between two consecutive replenishment periods? ä (b) Mr. Stone is considering a more frequent replenishment policy to improve the cycle-service level to at most 1% stockout probability. To achieve this, what would be the maximum length (in days) of the replenishment periods?arrow_forwardDemand for sandwiches is normally distributed with a mean of 1,280 and a standard deviation of 220. The order quantity is 1,485 units. What is the expected inventory (in units)?arrow_forwardThe University Bookstore at Tech stocks the required textbook for Management Science 2405. The demand for this text is 1,200 copies per year. The cost of placing an order is $350, and the annual carrying cost is $2.75 per book. If a student requests the book and it is not in stock, the student will likely go to the privately owned Tech Bookstore. It is likely that the student will not buy books at the University Bookstore in the future; thus the shortage cost to the University Bookstore is estimated to be $45 per book. Determine the optimal order size, the maximum shortage level, and the total inventory cost.arrow_forward
- Lindsay Electronics, a small manufacturer of electronic research equipment, has approximately 7,100 items in its inventory and has hired Joan Blasco-Paul to manage its inventory. Joan has determined that 9% of the items in inventory are A items, 39% are B items, and 52% are C items. She would like to set up a system in which all A items are counted monthly (every 19 working days), all B items are counted quarterly (every 60 working days), and all C items are counted semiannually (every 119 working days). How many items need to be counted each day? The total number of items that need to be counted each day is _______ items (round your response to the nearest whole number). To find the number of items counted per day for each class of items, use the following formula: Number of items counted per day=Inventoryx Percent of inventory/ Working days. Sum the number of items for each class to arrive at the total number of items that need to be counted each day.arrow_forwardLindsay Electronics, a small manufacturer of electronic research equipment, has approximately 7,100 items in its inventory and has hired Joan Blasco-Paul to manage its inventory. Joan has determined that 8% of the items in inventory are A items, 30% are B items, and 62% are C items. She would like to set up a system in which all A items are counted monthly (every 21 working days), all B items are counted quarterly (every 60 working days), and all C items are counted semiannually (every 124 working days). How many items need to be counted each day? The total number of items that need to be counted each day is items (round your response to the nearest whole number).arrow_forwardRam Roy's firm has developed the following supply, demand, cost, and inventory data. Supply Available Demand Period Regular Time Overtime Subcontract Forecast 40 15 15 50 35 15 15 60 30 20 15 50 Initial inventory Regular-time cost per unit Overtime cost per unit Subcontract cost per unit Carrying cost per unit per month 30 units $100 $150 $200 $4 Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $ (enter your response as a whole number).arrow_forward
- Prince Electronics, a manufacturer of consumer electronic goods, has five distribution centers in different regions of the country. For one of its products, a highspeed modem priced at $330 per unit, the average weekly demand at each distribution center is 70 units. Average shipment size to each distribution center is 400 units, and average lead time for delivery is 2 weeks. Each distribution center carries 2 weeks' supply as safety stock but holds no anticipation inventory. a. On average, how many dollars of pipeline inventory will be in transit to each distribution center? $ (Enter your response as an integer.) b. How much total inventory (cycle, safety, and pipeline) does Prince hold for all five distribution centers? units. (Enter your response as an integer.)arrow_forwardRam Roy's firm has developed the following supply, demand, cost, and inventory data Period 1 2 3 Regular Time 40 35 40 Supply Available Overtime Subcontract 15 15 15 Initial inventory Regular bime cost per unit Overtime cost per unit Subcontract cost per unit Carrying cost per unit per month 5 20 units $100 $150 $250 $6 Demand Forecast 40 60 55 10 Assume that the initial inventory has no holding cost in the first period and backorders are not permitted Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $(enter your response as a whole number)arrow_forwardRam Roy's firm has developed the following supply, demand, cost, and inventory data. Supply Available Overtime Subcontract 15 5 15 5 20 5 Period 1 2 3 Regular Time 30 35 40 Demand Forecast 20 units $100 $150 $200 $6 40 50 60 n Initial inventory Regular-time cost per unit Overtime cost per unit Subcontract cost per unit Carrying cost per unit per month Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $ (enter your response as a whole number).arrow_forward
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