You are moving away from Bloomington and need to load a truck. The items that will go on the truck must all be packed in boxes. The size (in cubic feet) of each item and each available box are listed in the file P06_95.xlsx. For example, the first item requires 78 cubic feet, and the first box can hold 116 cubic feet of stuff. Develop a linear integer model to find the minimum amount of cubic feet needed to pack all items in boxes. Assignments: Item Box 1 2 3 4 5 6 7 8 9 10 11 Total Cubic Feet: $ Box packing data Item to pack Cubic feet 1 78 2 63 3 87 4 56 5 88 6 56 7 75 8 62 9 52 10 71 11 54 Box Cubic feet 1 116 2 112 3 119 4 167 5 90 6 166 7 112 8 109
You are moving away from Bloomington and need to load a truck. The items that will go on the truck must all be packed in boxes. The size (in cubic feet) of each item and each available box are listed in the file P06_95.xlsx. For example, the first item requires 78 cubic feet, and the first box can hold 116 cubic feet of stuff. Develop a linear integer model to find the minimum amount of cubic feet needed to pack all items in boxes. Assignments: Item Box 1 2 3 4 5 6 7 8 9 10 11 Total Cubic Feet: $ Box packing data Item to pack Cubic feet 1 78 2 63 3 87 4 56 5 88 6 56 7 75 8 62 9 52 10 71 11 54 Box Cubic feet 1 116 2 112 3 119 4 167 5 90 6 166 7 112 8 109
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 95P
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Question
You are moving away from Bloomington and need to load a truck. The items that will go on the truck must all be packed in boxes. The size (in cubic feet) of each item and each available box are listed in the file P06_95.xlsx. For example, the first item requires 78 cubic feet, and the first box can hold 116 cubic feet of stuff. Develop a linear integer model to find the minimum amount of cubic feet needed to pack all items in boxes.
Assignments:
Item | Box | |
1 | ||
2 | ||
3 | ||
4 | ||
5 | ||
6 | ||
7 | ||
8 | ||
9 | ||
10 | ||
11 |
Total Cubic Feet: $
Box packing data | |
Item to pack | Cubic feet |
1 | 78 |
2 | 63 |
3 | 87 |
4 | 56 |
5 | 88 |
6 | 56 |
7 | 75 |
8 | 62 |
9 | 52 |
10 | 71 |
11 | 54 |
Box | Cubic feet |
1 | 116 |
2 | 112 |
3 | 119 |
4 | 167 |
5 | 90 |
6 | 166 |
7 | 112 |
8 | 109 |
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