Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering · 2 marks · Multiple choice
Faces 1 and 2 can produce at most 1600 and 2000 tonnes/day, at Fe 63% and 58% and costs₹1500 and₹1200/tonne. Blend grade must be at least 60%, total demand at most 2500 tonnes/day, and sale price₹4500/tonne. Find profit-maximising outputs(1, 2).
Both faces have positive margin, so fill the 2500-tonne demand. Face 2 has the larger margin, so use the minimum face 1 amount needed for grade. Solve 63x+58(2500−x)≥60×2500, which gives x≥1000. Thus outputs 1000 and 1500 maximise profit, A, and remain within both capacity limits.
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