UNCERTAIN DEMANDLead time demand for an item averages 100 units, with a standard deviation of 30. The order quantity is200 units. Management desires that 99 percent of all demand be met from stock.a) What is the optimal order point?b) Suppose management wanted a 98 percent service level; what would be optimal order point bec)Suppose management wanted 90 service level. Compute the optimal order point

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Answered: UNCERTAIN DEMAND Lead time demand for…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter3: Introduction To Optimization Modeling

Section3.8: A Multiperiod Production Model

Problem 22P

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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?
Problem 3: You're a buyer for fictional Quality Kitchen Appliances. Thestore has a demand for 1,000 toasters ovens per year. The cost of each toaster oven is US$78. The ordering cost is US$100 per order. The holding cost is 40% of the cost of the oven per unit per year.a What is the optimal Order Quantity?b How many orders will be placed per year?c What is the total annual cost (in US dollars)?d If the holding cost decreases to 30% of the unit cost of the oven, what effect will it have on EOQ and the totalannual cost?
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
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Skinnerís Fish Market buys fresh Boston bluefish daily for $5.60 per pound and sells it for $9.80 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $3.80 per pound. Daily demand can be approximated by a normal distribution with a mean of 105 pounds and a standard deviation of 24 pounds. 1. What inventory model should be used to determine the order quantity to maximize the total expected proÖt? Why? 2. What is the service level under the optimal order quantity? 3. How much fresh Boston blueÖsh should Skinnerís Fish Market order so as to maximize the total expected proÖt?
SOLVE THE NEWSPERSON PROBLEM. PROBABILITY 0.24 0.08 0.21 0.16 0.08 0.23 VALUE 1 2 3 4 5 6 PURCASE COST C = 12 SELLING PRICE P = 28 SALVAGE VALUE V = 4 What is the optimal order quantity?

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