Introduction to Management Science (12th Edition)
Introduction to Management Science (12th Edition)
12th Edition
ISBN: 9780133778847
Author: Bernard W. Taylor III
Publisher: PEARSON
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Chapter 5, Problem 17P
Summary Introduction

To determine: Formulate a integer programming model and solve the model.

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i). Complete the table assuming a Level production plan. ii) Comment on your results and explain whether at this stage, you consider a Level plan is a suitable approach for this particular business. Your comment should include reference to a calculated ‘fill rate’.
In the following sawtooth inventory profile diagram, two inventory plans with different order quantities (Q) and different frequencies of delivery are shown; order quantity for Plan A = 200 units and Plan B = 50 units. i). Total demand (D) is 350 units, the holding cost per unit (Ch) is equal to (£0.8) and the ordering cost per order (Co) is (£12.5). Calculate the total costs for each plan and state which one is more preferable along with the reason why.  ii). There is a stark difference in the composition of the total costs of Plans A and B. Explain this difference and why it occurs. Use the breakdown of costs for each plan to help illustrate your answer.
i). Complete the table for a Chase production plan. ii). Explain whether a Level or Chase plan is more suitable for the demand pattern experienced by this particular business, which incidentally relies on highly skilled workers in the production process. Assume a starting workforce of 7 and that fractional workers are permissible. You should support your answer with numerical data derived from Table 3. In comparing the costs, state any other assumptions made.
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