Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering · 2 marks · Multiple choice
Choose a minimum-operating-cost dumper fleet. Type 1 costs ₹3 crore, carries 40 tonnes, makes 20 trips/day and costs ₹300/tonne to operate. Type 2 costs ₹4 crore, carries 50 tonnes, makes 20 trips/day and costs ₹200/tonne. Capital limit is ₹120 crore and minimum output is 31000 tonnes/day. Give counts (Type 1, Type 2).
Let fleet counts be x, y. Daily capacity is 800x+1000y and capital cost is 3x+4y. Option A gives 31000 tonnes/day at exactly ₹120 crore. B supplies only 30000 tonnes/day; C costs ₹124 crore. D is feasible but has operating cost ₹96 lakh/day, versus A’s ₹78 lakh/day. Since type 2 has lower operating cost, use as much of it as possible while meeting both constraints; their intersection is x=20, y=15. Thus A.
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