Two alloys, A and B, are made from four metals, I, II, III, and IV, according to
Question:
Two alloys, A and B, are made from four metals, I, II, III, and IV, according to the following specifications:
Alloy Specifications Selling price ($)
A At most 80% of I 200 At most 30% of II At least 50% of IV B Between 40% and 60% of II 300 At least 30% of III At most 70% of IV The four metals are extracted from three ores according to the following data:
Constituents (%)
Ore Maximum quantity
(tons) I II III IV Others Price/ton ($)
1 1000 20 10 30 30 10 30 2 2000 10 20 30 30 10 40 3 3000 5 5 70 20 0 50 Develop an LP model to determine how much of each type of alloy should be produced, and find the solution using AMPL, Solver, or TORA. (Hint: Let xkj be tons of ore i allocated to alloy k, and define w k as tons of alloy k produced.)
Step by Step Answer:
