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8. Three components - x, y, and z- are made at the same machine via lot production. Setup time, run time, and lot size for each item are as follows: Component Setup time, hr. X 2 5 1 y Z Run time, min. 1 1.5 2 Lot size 800 400 500 One lot of each component is waiting at the machine to be processed: each component is needed immediately. (a) What is the minimum lead time for obtaining all three components? (b) We want to reduce this lead time to 12 hours by reducing setup time and lot size by the same factor for all items. What should the resulting setup time and lot size be for each component?

8. Three components - x, y, and z- are made at the same machine via lot production. Setup time, run time, and lot size for each item are as follows: Component Setup time, hr. X 2 5 1 y Z Run time, min. 1 1.5 2 Lot size 800 400 500 One lot of each component is waiting at the machine to be processed: each component is needed immediately. (a) What is the minimum lead time for obtaining all three components? (b) We want to reduce this lead time to 12 hours by reducing setup time and lot size by the same factor for all items. What should the resulting setup time and lot size be for each component?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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8. Three components – x, y, and z- are made at the same machine via lot production. Setup time, run time, and lot size for each item are as follows: Setup time, hr. 2 Lot size 800 Component Run time, min. 1.5 400 1 2 500 One lot of each component is waiting at the machine to be processed: each component is needed immediately. (a) What is the minimum lead time for obtaining all three components? (b) We want to reduce this lead time to 12 hours by reducing setup time and lot size by the same factor for all items. What should the resulting setup time and lot size be for each component?
Transcribed Image Text:8. Three components – x, y, and z- are made at the same machine via lot production. Setup time, run time, and lot size for each item are as follows: Setup time, hr. 2 Lot size 800 Component Run time, min. 1.5 400 1 2 500 One lot of each component is waiting at the machine to be processed: each component is needed immediately. (a) What is the minimum lead time for obtaining all three components? (b) We want to reduce this lead time to 12 hours by reducing setup time and lot size by the same factor for all items. What should the resulting setup time and lot size be for each component?
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