A coal mining company examines the option of buying two types of dumpers with the following details.
| Parameter | Type-1 | Type-2 | Constraints |
|---|---|---|---|
| Capital cost per dumper (in ₹ crore) | 3.0 | 4.0 | Maximum capital available for purchasing is ₹120 crore |
| Capacity in tonne | 40 | 50 | Minimum daily tonnage to be hauled is 31,000 |
| Daily trips for each dumper | 20 | 20 | |
| Operating cost (in ₹) per tonne | 300.0 | 200.0 |
In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are
20, 15
0, 30
0, 31
40, 0
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