LP Center of Gravity Data Location X Y Cost 1 7 4 13 2 1 14 5 3 9 3 15 4 4 9 24 Total 21 30 57 Simplification Create an LP to find the optimal locations of the two centers by making sure the transportation cost is minimized. To simplify your task, assume that the centers can only be placed in a range from [5,4] to [7,7].

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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LP Center of Gravity
Data
Location
X
Y
Cost
1
7
4
13
2
1
14
5
3
9
3
15
4
4
9
24
Total
21
30
57
Simplification
Create an LP to find the optimal locations of the two centers by making sure the transportation cost is
minimized. To simplify your task, assume that the centers can only be placed in a range from [5,4] to
[7,7].
Transcribed Image Text:LP Center of Gravity Data Location X Y Cost 1 7 4 13 2 1 14 5 3 9 3 15 4 4 9 24 Total 21 30 57 Simplification Create an LP to find the optimal locations of the two centers by making sure the transportation cost is minimized. To simplify your task, assume that the centers can only be placed in a range from [5,4] to [7,7].
ROP With Variable Demand and Lead Time
Data
Risk of Stock Out
Assume the maximum risk of stock out we wish
to take is 1%. What is the ROP?
Average demand per week = 200
Stdv of demand per week = 50
Average lead time in weeks = 3
Stdv of lead time in weeks = 2
Service level: 95%
Safety stock will become:
Lead time and demand are normally distributed
New ROP =
ROP With Variability
Service level
90%
95%
99%
99.9%
Note: 1 Service level = stockout risk
Key Z-Values
Z-value
1.28
1.65
2.33
3.08
Transcribed Image Text:ROP With Variable Demand and Lead Time Data Risk of Stock Out Assume the maximum risk of stock out we wish to take is 1%. What is the ROP? Average demand per week = 200 Stdv of demand per week = 50 Average lead time in weeks = 3 Stdv of lead time in weeks = 2 Service level: 95% Safety stock will become: Lead time and demand are normally distributed New ROP = ROP With Variability Service level 90% 95% 99% 99.9% Note: 1 Service level = stockout risk Key Z-Values Z-value 1.28 1.65 2.33 3.08
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