The Problem in Words
As production manager at a fuel processing plant, you would like to maximize profit from blending the raw materials butane, catalytic reformate, and naphtha into the two finished products Regular and Premium. These final products must satisfy quality requirements on octane, vapor pressure, and volatility. Each raw material has a limited availability and cost per unit which are known. You know the minimum required for each finished good, the maximum you will be able to sell, and the profit contribution per unit.