please don't solve it using excel , I need complete solution with decision variables & constraints all without excel

-70. A refinery manufactures two grades of jet fuel, F1 and F2, by blending four types of gasoline, A,B,C, and D. Fuel F1 uses gasolines A,B,C, and D in the ratio 1:1:2:4, and fuel F2 uses the ratio 2:2:1:3. The supply limits for A,B,C, and D are 1000,1200,900, and 1500bbl/ day, respectively. The costs per bbl for gasolines A,B,C, and D are $120,$90, $100, and $150, respectively. Fuels F1 and F2 sell for $200 and $250 per bbl, respectively. The minimum demand for F1 and F2 is 200 and 400bbl/ day, respectively. Develop an LP model to determine the optimal production mix for F1 and F2, and find the solution using AMPL, Solver, or TORA