24-MMP-A5 Surface Mining Methods and Design · December 2018
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Reference texts: Hustrulid, Kuchta & Martin, Open Pit Mine Planning and Design (3rd ed.) — truck-shovel match factor, dragline stripping geometry, capital cost indexes, open-pit scheduling; SME Mining Engineering Handbook (3rd ed.) — equipment costing, mine dewatering, cost-index escalation.
Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.
Given. Index ratio (today/1997) = 2.0; 1997 costs from Question 4.2.
Realism check. The drill and truck figures land in a broadly plausible present-day range for large rotary blast-hole drills (≈$15–25M for the biggest units) and 300 t-class mechanical-drive trucks (≈$6–9M) — realistic. The shovel figure, ≈$246M for one 53 m³ cable shovel, is NOT realistic (real large cable shovels of this bucket class cost on the order of $20–35M delivered) — a strong signal that a SINGLE blanket 2× index is too crude to apply uniformly across machine classes whose cost structure and escalation drivers differ (exactly the Question 1.3/4.1.4 point about not using one index for every sub-sector); the shovel's power-law formula itself is also being extrapolated well beyond a 53 m³ example bucket size typical of published 1997-era cost curves, compounding the distortion.
| Machine | Cost today (2× 1997) | Realistic? |
|---|---|---|
| Drill | $20.38 million | Yes, plausible range |
| Shovel | $246.40 million | No — far above real large-cable-shovel cost |
| Truck | $7.40 million | Yes, plausible range |