A feed processor in Delta Egypt must store various amounts of three different commodities in five different silos.

The loading cost per ton in E£, the amount to be stored in tons, and the capacity of each silo in tons are shown in the table below:

COMMODITY SILO AMOUNT TO BE A B C D E STORED 1 100 120 110 140 150 70 2 150 100 120 130 180 60 3 120 110 120 140 160 80 Capacity 50 80 30 40 30 Set up the objective function and constraints of this problem using LP so as to minimize the loading cost and solve the problem. lop4