Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 8.2, Problem 18P
a
Summary Introduction
Interpretation: The optimal production plan and the holding and setup costs are to be calculated.
Concept Introduction: The production level at which the short term profits are maximized, and that at which setup and holding costs are least, is referred to as the optimal production plan.
b
Summary Introduction
Interpretation: The optimal production plan and the holding and setup costs using backward dynamic programming.
Concept Introduction: The production level at which the short term profits are maximized, and that at which setup and holding costs are least, is referred to as the optimal production plan.
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Part B
Step 1: Use the formulated problem as in part A with the return and constraint coefficients to set up Excel sheet
Step 2
Setting up the worksheet
Key in the profit coefficients per box type in range B3:c3
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using the range B5:C7…
A single inventory item is ordered from an outside supplier. The anticipateddemand for this item over the next 12 months is 6, 12, 4, 8, 15, 25, 20, 5, 10, 20, 5,12. Current inventory of this item is 4, and ending inventory should be 8. Assume aholding cost of $1 per period and a setup cost of $40. Determine the order policyfor this item based ona. Silver–Meal.
Auria will produce 3 vehicle components and knows that each start generates a cost of 5,000 pesos. The cost of the units is $ 200, $ 100 and $ 70 respectively. Annual demand is 100,000 units for Product A, 150,000 units for Product B, and 200,000 units for Product C. The inventory rate is 15% per month. Product A and B are basic and substitutable products, so there must be a minimum average inventory of 8,000 units of both. The company seeks a maximum of $ 100,000 invested money in inventory. The available warehouse space is 400m3 and product A occupies 0.5m3, product B 0.7m3 and C 1m3. Consider that product A and C allow shortages and the goodwill loss cost is $ 3 for each unit of those items.
a) Formulate the problem as a mathematical programming model (objective function and constraints) that minimizes the total annual cost
Chapter 8 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 8.1 - Prob. 1PCh. 8.1 - Prob. 2PCh. 8.1 - Prob. 3PCh. 8.1 - Prob. 4PCh. 8.1 - Prob. 5PCh. 8.1 - Prob. 6PCh. 8.1 - Prob. 7PCh. 8.1 - Prob. 8PCh. 8.1 - Prob. 9PCh. 8.2 - Prob. 10P
Ch. 8.2 - Prob. 11PCh. 8.2 - Prob. 12PCh. 8.2 - Prob. 13PCh. 8.2 - Prob. 14PCh. 8.2 - Prob. 15PCh. 8.2 - Prob. 16PCh. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.3 - Prob. 23PCh. 8.3 - Prob. 24PCh. 8.3 - Prob. 25PCh. 8.4 - Prob. 26PCh. 8.4 - Prob. 27PCh. 8.4 - Prob. 28PCh. 8.4 - Prob. 29PCh. 8.5 - Prob. 30PCh. 8.5 - Prob. 31PCh. 8.5 - Prob. 32PCh. 8.5 - Prob. 33PCh. 8.5 - Prob. 34PCh. 8.6 - Prob. 35PCh. 8.6 - Prob. 36PCh. 8.6 - Prob. 37PCh. 8.6 - Prob. 38PCh. 8.6 - Prob. 39PCh. 8.6 - Prob. 40PCh. 8 - Prob. 41APCh. 8 - Prob. 42APCh. 8 - Prob. 43APCh. 8 - Prob. 44APCh. 8 - Prob. 45APCh. 8 - Prob. 46APCh. 8 - Prob. 48APCh. 8 - Prob. 49APCh. 8 - Prob. 50APCh. 8 - Prob. 51AP
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