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:

Set up the objective function and constraints of this problem using LP so as to minimize the loading cost and solve the problem.

COMMODITY 1 2 3 Capacity SILO A B D E 100 120 110 140 150 150 100 120 130 180 120 110 120 140 160 50 80 30 40 30 AMOUNT TO BE STORED 70 60 80