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Four types of items are to be loaded in a vessel. The weight, W, the volume, V, and the unit profits, P, are provided below.

Four types of items are to be loaded in a vessel. The weight, W, the volume, V, and the unit profits, P, are provided below. The max allowable cargo weight is 120 tons and the max volume is 110 yd-cubed. Determine which items should be selected and what will be the best value obtained. Let x(i) denote the number of units of the ith item shipped. The problem formulation here will be:

Item W V P
1 5 1 3
2 8 8 7
3 3 6 9
4 2 5 4

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