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 its 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 cargos are shown in the following table.
Cargo TONS VALUE VOLUME
Type AVAIL. PER TON PER TON (CU. M)
A 970 $1,350 26
B 850 $1,675 54
C 1,900 $1,145 28
D 2,300 $850 45
E 3,600 $1,340 37
This solution uses excel solver to maximize profit for a cargo ship with step-by-step workings and all formulas used are included in an excel spreadsheet.