Discuss the below in detail:
Q: An industrial recycling center uses two scrap aluminum metals, A and B, to produce a special alloy. Scrap A contains 6% aluminum, 3% silicon and 4% carbon. Scrap B has 3% aluminum, 6% silicon and 3% carbon. The costs per ton for scraps A and B are $100 and $80, respectively. The specifications of the special alloy require that
(1) the aluminum content must be at least 3% and at most 6%,
(2) the silicon content must lie between 3% and 5%, and
(3) the carbon content must lie between 3% and 7%.
Determine the optimum mix of the scraps that should be used in producing 1000 tons of the alloys.
1) Decision variable definition
2) Objective function
3) Constrains
4) Summary optimal solution