(Solution Library) Five items are to be loaded in a vessel. The weight w i (in tons), volume v i (in cubic yards), and value r i (in $100) per unit of item
Question:
Five items are to be loaded in a vessel. The weight w i (in tons), volume v i (in cubic yards), and value r i (in $100) per unit of item i are tabulated below.
| Item i | w i | v i | r i |
| 1 | 5 | 1 | 4 |
| 2 | 8 | 8 | 7 |
| 3 | 3 | 6 | 6 |
| 4 | 2 | 5 | 5 |
| 5 | 7 | 4 | 4 |
The maximum allowable cargo weight and volume are 112 tons and 109 cubic yards, respectively. Formulate and solve an appropriate integer linear program (ILP) model to find the most valuable cargo.
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