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1. Certain cargo ship has 3 compartments; front, center and rear, with the following weight and volume capabilities. Compartment Maximum Weight (ton) Maximum Volume (m3)
1. Certain cargo ship has 3 compartments; front, center and rear, with the following weight and volume capabilities.
Compartment | Maximum Weight (ton) | Maximum Volume (m3) |
Delantero | 750 | 1500 |
Central | 1000 | 2100 |
Trasero | 800 | 1600 |
There are currently 5 shipments available for transport, with the following characteristics:
Cargo | Volume/Ton (m3) | Maximum transportation capacity (ton) |
A | 5 | 500 |
B | 4 | 300 |
C | 5 | 450 |
D | 6 | 200 |
E | 3 | 600 |
The following utilities are obtained from the transport of these cargoes:
Cargo | Utility/Ton ($) |
A | 4000 |
B | 3500 |
C | 4000 |
D | 5000 |
E | 3000 |
For safety reasons, the ship's captain is very interested that the difference between the weights of the compartments does not exceed 300 tons. After this, the most important thing for the captain is to transport all the cargo "C" that is from a very important customer. For other shipments, it is desired to transport more than 100 tons of each, as long as it does not exceed the maximum amount to be transported from each. Finally, it is important that the capacities of weight and volume of each compartment are not used to the maximum, the captain estimates that a 90% of use is adequate. Help the captain distribute his load in compliance with the established goals. It raises the formulation of this problem of programming by goals, to find the quantity of each cargo to be transported in each of the compartments.
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