Suppose that the EOQ is 100, average annual demand is1,000 units, and the lead time demand is a random variablehaving the distribution shown in Table 15.a What value of SLM1 corresponds to a reorder pointof 25?b If we wanted to attain a 95% value of SLM1, whatreorder point should we choose?c If we wanted an average of at most two stockouts peryear, what reorder point should we choose? Lead TimeDemand Probability10 16 15 14 20 14 25 112 30 14

Suppose that the EOQ is 100, average annual demand is1,000 units, and the lead time demand is a random variablehaving the distribution shown in Table 15.a What value of SLM1 corresponds to a reorder pointof 25?b If we wanted to attain a 95% value of SLM1, whatreorder point should we choose?c If we wanted an average of at most two stockouts peryear, what reorder point should we choose? Lead TimeDemand Probability10 16 15 14 20 14 25 112 30 14

Name: Suppose that the EOQ is 100, average annual demand is1,000 units, and
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Description: Suppose that the EOQ is 100, average annual demand is1,000 units, and the lead time demand is a random variablehaving the distribution shown in Table 15.a What value of SLM1 corresponds to a reorder pointof 25?b If we wanted to attain a 95% value of

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.4: Simulation With Built-in Excel Tools

Problem 14P

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1 A company carries 10 items in stock, each with an economic order quantity of$20,000. Through a program of component standardization, the 10 items are reducedto 5. The total annual demand is the same, but the annual demand for each item istwice what it was before. In Chapter 10, we learned that the economic order quantityvaries as the square root of the annual demand. Since the annual demand for eachitem is now doubled, calculate:a. The new EOQ.b. The total average inventory before standardization.c. The total average inventory after standardization.
At 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?
The manager of a hardware store decides to use theEOQ with shortages model to determine the orderingpolicy for tape measures. Using economic considerations,the manager determines that she should usean order quantity of Q 5 30 and have a maximumshortageof b 5 3. The lead time for her supplier todeliver an order is L working days, where there are sixworking days in a week. (Essentially, you can ignoreSundays.) The weekly demand is for 20 tape measures.What reorder point should the manager use ifL 5 3; if L 5 5; if L 5 10? (Hint: The manager shouldplan her orders so that the inventory level is 2b whenan order arrives.)
A company has an annual demand of 16,000 products. The products cost $2 each. Ordering and transport costs amount to $200 per order. The annual cost of holding one product in stock is estimated to be $1.20 . Assume that the company adopts the EOQ as its order quantity and it has to have half of the EOQ as inventory on hand when an order is placed. How many weeks does it take for an order to be delivered to the company? (1 year = 52 weeks) A) PPE may be credited by 2 million dollarsB) Revaluation OCI may be credited by 3,3 million dollarsC) Accumulated depreciation may be debited by 4 million dollarsD) Accumulated depreciation may be credited by 1,3 million dollarsE) Other (Please Specify)
Henrique Correa’s bakery prepares all its cakesbetween 4 a.m. and 6 a.m. so they will be fresh when customers arrive. Day-old cakes are virtually always sold, but at a 50% dis-count off the regular $10 price. The cost of baking a cake is $6, and demand is estimated to be normally distributed, with a mean of 25and a standard deviation of 4. What is the optimal stocking level?
An online retailer sells 1,500 t-shirts per year. The cost of the t-shirts to the store is $3.00 and the cost of placing an order is $15 per order. It cost $0.60 per t-shirt per year for the retailer to hold the t-shirts. The retailer sells the t-shirts for $9.99. Determine (a) the optimal order quantity, (b) the order frequency (c) the annual holding and setup cost.
The president of Value Filters became very enthusiastic about using EOQs to plan the sizes of her production runs, and instituted lot sizing based on EOQ values before she could properly estimate costs. For one particular filter line, which had an annual demand of 1,800 units per year and which was valued at $2.40 per unit, she assumed a holding cost based on a 30 percent annual interest rate and a setup cost of $100. Some time later, after the cost accounting department had time to perform an analysis, it found that the appropriate value of the interest rate was closer to 20 percent and the setup cost was about $40. What was the additional average annual cost of holding and setup incurred from the use of the wrong costs?
Problem 20-39 (Algo) CU, Incorporated (CUI), produces copper contacts that it uses in switches and relays. CUI needs to determine the order quantity, Q, to meet the annual demand at the lowest cost. The price of copper depends on the quantity ordered. Here are price-break and other data for the problem: Price of copper $ 0.84 per pound up to 2,499 pounds $ 0.83 per pound for orders between 2,500 and 4,999 pounds $ 0.81 per pound for orders 5,000 pounds or greater Annual demand 54,000 pounds per year Holding cost 25 percent per unit per year of the price of the copper Ordering cost $ 30 Which quantity should be ordered? Quantity_____________pounds
A service station uses 1,200 cases of oil a year. Ordering cost is $40, and annual carrying cost is$3 per case. The station owner has specified a service level of 99 percent.a. What is the optimal order quantity?b. What level of safety stock is appropriate if lead time demand is normally distributed with amean of 80 cases and a standard deviation of 6 cases?
Exercise 2: The demand per year (D) for product X is 12,100 units. The costs of placing an order (S) are $4.50. The unit cost (C) of the item is $25.00. The maintenance cost (H) per unit per year is 30% of the item's cost. 1. Use the economic order quantity (EOQ) model to determine: *Optimal quantity to order* The expected number of orders*Optimal time between orders*The total annual cost of maintaining that optimal amountNOTE: Show calculations of how you arrived at each amount 2. Answer, what are the potential benefits of using EOQ analysis for inventory management? How can you help businesses strike a balance between inventory holding costs and ordering costs?
Consider the coffeehouse discussed below. Suppose that its setup cost for ordering was really only $15. Determine the error made in calculating the annual cost of holding and setup incurred as a result of its using the wrong value of K. (Note that this implies that its current order policy is suboptimal.) A specialty coffeehouse sells Colombian coffee at a fairly steady rate of 280 pounds annually. The beans are purchased from a local supplier for $2.40 per pound. The coffeehouse estimates that it costs $45 in paperwork and labor to place an order for the coffee, and holding costs are based on a 20 percent annual interest rate.
Assume that Triksi Co. makes footballs and is trying to determine the quantity of leather it should order every time an order is placed. The relevant information is as follows: I. Over the course of a year 12,000 square meters of leather will be needed, II. The cost of storing 1 square meter of leather is $3, and III. The cost of placing an order is $450 Show Computations and Explanations. A. What is the EOQ? (Formula: 1,111)