Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Question
Chapter 4.8, Problem 28P
Summary Introduction
To determine:
Optimal order quantity
Introduction:
Economic order quantity is the optimal quantity which is ordered keeping in mind to minimize the cost and fulfilling of demand. This is usually done when cost varies according to the number of units demanded.
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Suppose that in the given problem the space consumed by each vegetable is not proportional to its cost. In particular, suppose that one pound of lettuce required 0.4 square foot of space and one pound of zucchini required 1 square foot of space. Determine upper and lower bounds on the optimal values of the order quantities in this case. Test different values of the Lagrange multiplier to find the optimal values of the order quantities. (A spreadsheet is ideally suited for this kind of calculation. If you solve the problem using a spreadsheet, place the Lagrange multiplier in a cell so that its value can be changed easily.)
Fixed-order-interval. This type of problem can be recognized when an order interval is given (e.g.,inventory is ordered every 10 days) along with the demand rate, lead time, and quantity on hand atorder time. Use Formula 13–16 to find the optimal order size.A lab orders a number of chemicals from the same supplier every 30 days. Lead time is five days.The assistant manager of the lab must determine how much of one of these chemicals to order. Acheck of stock revealed that eleven 25-milliliter (ml) jars are on hand. Daily usage of the chemical isapproximately normal with a mean of 15.2 ml per day and a standard deviation of 1.6 ml per day. Thedesired service level for this chemical is 95 percent.a. How many jars of the chemical should be ordered?b. What is the average amount of safety stock of the chemical?
Consider that you work at Kroger Grocery store, and that you've been tasked with creating an ABC inventory classification for 6 items. The 6 items, as well as their profit per case and number of cases sold per week, are as follows:Ribeye Steak - $135 in profit per case, 3 cases sold per weekLobster Tail - $245 in profit per case, 3 cases sold per weekPasta - $23 in profit per case, 12 cases sold per weekSalt - $3 in profit per case, 2 cases sold per weekNapkins - $12 in profit per case, 2 cases sold per weekTomato Sauce - $23 in profit per case, 11 cases sold per weekUsing total weekly profits, please classify each products into A, B, or C categories. Which items form the boundary of the class A and B items in your classification, and why? Which items form the boundary of the class B and C items in your classification, and why?
Chapter 4 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 5PCh. 4.4 - Prob. 6PCh. 4.4 - Prob. 7PCh. 4.4 - Prob. 8PCh. 4.4 - Prob. 9PCh. 4.5 - Prob. 10P
Ch. 4.5 - Prob. 11PCh. 4.5 - Prob. 12PCh. 4.5 - Prob. 13PCh. 4.5 - Prob. 14PCh. 4.5 - Prob. 15PCh. 4.5 - Prob. 16PCh. 4.6 - Prob. 17PCh. 4.6 - Prob. 18PCh. 4.6 - Prob. 19PCh. 4.6 - Prob. 20PCh. 4.7 - Prob. 21PCh. 4.7 - Prob. 22PCh. 4.7 - Prob. 23PCh. 4.7 - Prob. 24PCh. 4.7 - Prob. 25PCh. 4.8 - Prob. 26PCh. 4.8 - Prob. 27PCh. 4.8 - Prob. 28PCh. 4.9 - Prob. 29PCh. 4.9 - Prob. 30PCh. 4 - Prob. 31APCh. 4 - Prob. 32APCh. 4 - Prob. 33APCh. 4 - Prob. 34APCh. 4 - Prob. 35APCh. 4 - Prob. 36APCh. 4 - Prob. 37APCh. 4 - Prob. 38APCh. 4 - Prob. 39APCh. 4 - Prob. 40APCh. 4 - Prob. 41APCh. 4 - Prob. 42APCh. 4 - Prob. 43APCh. 4 - Prob. 44APCh. 4 - Prob. 45AP
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