Riverside oil company in eastern Kentucky produces 3 different grades of gasoline. They are regular, premium, and supreme grades. Each barrel of regular grade sells for $82 while premium grade sells for $88 per barrel and supreme grade sells for $89 per barrel. Petroleum component A, B, and C are purchased to be blended together for the production of three different grades of gasoline. The availability and cost of petroleum components A, B, and C are given in the following table.