Consider an oil refinery that takes as feed three possible crude oil varieties C1, C2, C3, and produces three grades of gasoline with the following market characteristics: Gasoline Max market demand Wholesale (refiner) price Regular 9,000 gal/day $0.70/gal Plus 8,000 gal/day $0.80/gal Premium 7,000 gal/day $0.90/gal

The crudes have the following characteristics - noting that the yields correspond to volume of gasoline produced / volume of crude feed: Crude Cost Total Available Reg yield Plus Prem C1 $0.4/gal 10,000 gal/day 0.2 0.3 0.5 C2 $0.2/gal 12,000 gal/day 0.5 0.3 0.2 C3 $0.1/gal 15,000 gal/day 0.7 0.3 0 1 Write the optimization problem in standard form; 2 Develop a MATLAB and a GAMS-based procedure to determine the optimal solution x1, x2, x3 gal/day. 3 Provide the results and state the solution