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24-MMP-A5 Surface Mining Methods and Design · December 2018

Question 22 of 27

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper
Paper: Surface Mining Methods and Design (09-MMP-A5), National Exam, December 2018 — 20 pages, compulsory Question 1 (40 marks, parts 1.1–1.8) plus THREE of five optional Questions 2–6 (20 marks each) normally constitute a complete paper. As a study resource, this solution answers Question 1 in full AND all five optional Questions 2–6.

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 4.3 present-day escalation (2 marks)

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.

  1. Escalate each 1997 cost. $$P_{today} = P_{1997} \times 2$$ Drill: $$\boxed{\$10.19\text{M} \times 2 \approx \$20.38\text{ million}}$$ Shovel: $$\boxed{\$123.20\text{M} \times 2 \approx \$246.40\text{ million}}$$ Truck: $$\boxed{\$3.70\text{M} \times 2 \approx \$7.40\text{ million}}$$

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.

MachineCost today (2× 1997)Realistic?
Drill$20.38 millionYes, plausible range
Shovel$246.40 millionNo — far above real large-cable-shovel cost
Truck$7.40 millionYes, plausible range