An oil company produces three different grades of motor oil. All the three products are obtained by blending two components. These components contribute various properties including viscosity. The viscosity of the product is proportional to the viscosity of the blending components. The relevant data is shown in the table below. Assuming no limitation on the demand. Determine how many barrel of each product the company should produce each week. Viscosity Cost per barrel Availability per Blending Component week (bbl) 1 20 36.50 10000 2 60 41.00 4000 Product Revenue Per Barrel A 38 B 39 C 41 Viscosity Required 30 40 50