Four shipping containers can altogether take a maximum of 20 tons for one shipment order. The following table provides details on the weight (in tons) and value of each container:
Container |
1 |
2 |
3 |
4 |
Weight of container (tons) |
5 |
6 |
9 |
7 |
Value / Container |
$6000 |
$5500 |
$7500 |
$6000 |
Develop a binary integer model that will determine the two containers and the quantity that should be considered for shipment using these two containers (2 out of 4 containers) to maximize the value of the shipment.
LP Formulation
Objective Function -
Maximize Value Z = 6000X1+5500X2+7500X3+6000X4
s.t. constraints -
5X1+6X2+9X3+7X3 <=20
X1+X2+X3+X4 = 2
Xi = 0 or 1
Maximum value is 13500 from the below solver solution
Four shipping containers can altogether take a maximum of 20 tons for one shipment order. The...
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