Evaluate the statistical ROP when you have probabilistic demand and constant lead time, with constant demand and probabilistic lead time, and with demand and lead time both probabilistic.
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Evaluate the statistical ROP when you have probabilistic demand and constant lead time,
with constant demand and probabilistic lead time, and with demand and lead time both
probabilistic.
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- ANT Infra orders two kinds of precast items: A and B for use in its projects from two different suppliers. The precasts are needed throughout the entire 52-week year. Precast A are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. While, precast B is ordered from a supplier who delivers by every three weeks. Data for both precast items are as follows:Item Precast A Precast BAnnual demand 10,000 5,000Holding cost (% of item cost)20% 20%Order cost $150 $25Lead time 4 weeks 1 weekSafety stock 55 units 5 unitsItem cost $10.00 $2.00 a. Employ Q system for precast A and calculate the EOQ, the reorder point, total inventory cost? b. Employ P system for precast B and estimate the target level inventory and total inventory cost?Metaverse LLP is a laptop manufacturing company located at Bengaluru, India. One of the main components of the laptop is the Hard Disk Drive (HDD). The inventory of this item is controlled by the EOQ model. Presently the company imports 40 GB HDD from Micron Components and Devices at a unit price of $60 and a 15 day delivery time. Metaverse needs to determine the amount to order each time an order is placed. They also need to determine when to place the order. The forecasted demand for the coming year for the 40GB HDD is 3,000 units. The company incurs a high ordering cost of $225 per order. The average annual inventory holding cost is estimated to be 25% of the item cost and a safety stock of 25 HDDs is maintained. The company operates for 300 days a year. However, Micron wants to drastically increase prices of HDDs which is not acceptable to Metaverse. The purchase officer of Metaverse has identified another supplier Minnesota Data Products. This supplier is willing to supply at…Formulate a problem and make a solution using the Single-Period inventory models with probability demand.
- Blade Breakers Ltd. manufactures blades. The following are the details of their operation during 2020: Average monthly market demand 2,000 blades Ordering costs $ 200 per order Inventory carrying costs 20% per annum Cost of lamps $ 1000 per blade Normal usage 100 blades per week Minimum usage 50 blades per week Maximum usage 200 blades per week Lead time to supply 4 - 6 weeks Compute: Economic order quantity. Maximum level of stock. Minimum level of stock. Re-order level of stock. What tradeoffs in costs are involved in computing the Economic Order Quantity?The Hawkins Supply Company is currently faced with an inventory rotation problem. This difficulty stems from the fact that some supplies must be used prior to a stated expiration date. Upon receipt, a new shipment of these perishable items must be stacked beneath the boxes that are currently in inventory. A substantial amount of time is consumed in restacking the items according to their expiration dates.The company would like to reduce the double and sometimes triple handling of items. How can this goal be achieved? Are there alternative solutions which might also be effective?The 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.
- Answer the given question with a proper explanation and step-by-step solution. An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand). On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law 2.5 weeks 6.6 weeks 5.3 weeks 1.3 weeksPM Computers assembles personal computers from generic components. It purchases its color monitors from a manufacturer in Taiwan; thus, there is a long and uncertain lead time for receiving orders. Lead time is normally distributed, with a mean of 25 days and a standard deviation of 10 days. Daily demand is also normally distributed, with a mean of 2.5 monitors and a standard deviation of 1.2 monitors. Determine the safety stock and reorder point corresponding to a 90% service level.Kris Lee, the owner and manager of the Quality Hardware Store, is reassessing his inventory policy for hammers. He sells an average of 50 hammers per month, so he has been placing an order to purchase 50 hammers from a wholesaler at a cost of $20 per hammer at the end of each month. However, Kris does all the ordering for the store himself and finds that this is taking a great deal of his time. He estimates that the value of his time spent in placing each order for hammers is $75. What would the unit holding cost for hammers need to be for Kris' current inventory policy to be optimal according to the basic EOQ model? What is this unit holding cost as a percentage of the unit acquisition cost? What is the optimal order quantity if the unit holding cost actually is 20 percent of the unit acquisition cost? What is the corresponding value of TVC? What is TVC for the current inventory policy? If the wholesaler typically delivers an order of hammers in 5 working days (out of 25 working…
- Suppose this information is available for PepsiCo, Inc. for 2015, 2016, and 2017. (in millions) 2015 2016 2017 Beginning inventory $ 2,100 $ 2,400 $ 2,300 Ending inventory 2,400 2,300 2,700 Cost of goods sold 18,227 20,071 20,478 Sales revenue 39,145 42,957 44,066 Calculate the days in inventory for PepsiCo, Inc. for 2015, 2016, and 2017. (Round days in inventory to 1 decimal place, e.g. 5.1.) 2015 2016 2017 Days in inventory daysExercise 14: • __________is an inventory strategy companies employ to increase efficiency and decrease waste by receiving goods only as they are needed in the production process, thereby reducing inventory costs. This method requires producers to forecast demand accurately. • What is its main disadvantage?Weekly demand for printers at a store is normally distributed with a mean of 250 and a standard deviation of 96. The store manager continuously monitors inventory and currently orders 14400 printers each time the inventory drops to 1,000printers. The supply lead time is normally distributed with a mean of 2 weeks and a standard deviation of 1.5 weeks. a.How much safety inventory should this store carry if it wants to provide a CSL of 95%? b.How does the required safety inventory change as the standard deviation of lead time is reduced from 1.5 weeks to zero in intervals of 0.5 weeks? c.What fill rate does the store achieve?