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. Run time, min. Lot size 1 800 1.5 400 1 500 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?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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8. Three components – x, y, and z-
Setup time, run time, and lot size for each item are as follows:
are made at the same machine via lot production.
Setup time, hr.
2
Component
Run time, min.
Lot size
1
800
1.5
400
500
1
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- Setup time, run time, and lot size for each item are as follows: are made at the same machine via lot production. Setup time, hr. 2 Component Run time, min. Lot size 1 800 1.5 400 500 1 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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