A national grain trader procures wheat in standard bags of 50 kg from several farmers and sends the wheat bags to different retail outlets.
The supply from the different farmers are given in the following table:

The demand of each retail outlets is:

Wheat bags are cross-docked from the inbound truck to outbound truck and not stored in the traders’ facilities. Unloading and loading of the bags depend on the inbound and outbound truck size; thus, some trucks require more time than others. The following table shows the labor minutes needed to unload a bag from an inbound truck and load the bag on the outbound truck.

Determine the optimal unloading–loading pattern that will minimize the total labor minutes used using computer.

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Farmer FT 1 FT 2 FT 3 FT 4 FT 5 Supply (bags) 100 150 200 125 145