Question : A steel recycling company collects two type of steel A : 1990
A steel recycling company collects two type of steel A and B that contain different combinations of iron, carbon, manganese, and nickel. Steel type A contains 95% iron, 2% carbon, 2.5% manganese, and 0.5% nickel. Steel type B contains 97% iron, 1.5% carbon, 0.75 % manganese, and 0.75% nickel. You want to use recycling steel A and B to forge a new raw material that contains at least 120 kg iron, 1.5 kg carbon, 2 kg of manganese, and 1 kg nickel. If forging costs $4.50 and $6.00 per kg of A and B, respectively, formulate an optimization problem that determines the amounts of mixed steel A and B to be used to prepare the new raw material at a minimum cost.