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The load master for a freighter wants to determine the mix of cargo to be carried on the next trip. The ship's volume limit for cargo is 100,000 cubic meters, and it weight capacity is 2,310 tons. The master has five different types of cargo from which to select and wishes to maximize the value of the selected shipment. However, to make sure that none of his customers are ignored, the load master would like to make sure that at least 20% of each cargo's available weight is selected. The specifications for the five cargoes are shown in the following table.
Cargo Type
Tons Available
Value Per Ton
Volume Per Ton (CU. M.)
A
B
C
D
E
970
850
1,900
2,300
3,600
$1,350
$1,675
$1,145
$ 850
$1,340
26
54
28
45
37
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