CleanCo specializes in the production of a chemical agent that can neutralize polluting waste dumped by factories into waterways. To be effective, each barrel of the produced agent must contain the following minimum quantities of 6 chemical components: A, B, C, D, E and F.
ABCDEF
Quantity in 0 .2 0.6 0.84 2.88 3.48 1.24 one KG
Components
There are two products X and Y on the market which contain, per kg, these components in variable quantities (expressed in %).
ABCDEF
X 10 0 12 24 18 4 Y 0 20 4 18 30 16
One kg of X is sold at 16 AED and one kg of Y is sold at 28 AED.
Write the linear program corresponding to the problem of the company knowing that it