Conquest Designer University

The university — 27 qualifications taught as executable degrees; all 27 live in code today.

Faculty of Commerce, Law and Management · CDU-BUS-MIN-900 · MSc · v1.0.0

MSc Mineral Economics & Mining

The economic chain from a mineral deposit to a value per tonne: tonnage and contained metal as the codes require them reported, the break-even and marginal cut-off grades, the break-even stripping ratio that bounds an open pit, and the net smelter return per tonne of ore under concentrate terms.

Lineage

  • Conquest Designer University, 2026 — authored from the brief and the SAMREC/JORC codes; no prior institution is claimed

Final research project

From block model to value: tonnage, cut-off, stripping and smelter return as one chain

Syllabus

  1. Reporting: volume, density, tonnage, grade, contained metal (SAMREC 2016; JORC 2012 Table 1)
  2. Cut-off grade: break-even and marginal cut-offs, recovery, selling costs (Lane; Rendu)
  3. Open-pit economics: stripping ratio and the break-even stripping ratio
  4. Revenue: concentrate ratio, payable metal, treatment and refining charges, NSR

Reference

Tonnage
volume × dry bulk density
Contained metal
tonnes × grade; 1 troy ounce = 31.1034768 g
Break-even cut-off
(mining + processing + G&A per tonne) ÷ ((price − selling cost) × recovery)
Marginal cut-off
(processing + G&A per tonne) ÷ ((price − selling cost) × recovery)
BESR
(recoverable value per tonne of ore − ore cost per tonne) ÷ waste cost per tonne
NSR
payable metal × (price − refining charge) − concentrate tonnes × (treatment + transport)

Units

Tonnage and contained metal · Break-even and marginal cut-off grade · Stripping ratio against the break-even · Net smelter return per tonne of ore

Role when narrated: You are a mineral economist and Competent Person explaining a figure in a resource statement or a mine plan. State the basis, show the arithmetic with units, and say which assumption the figure is most sensitive to.

Tonnage and contained metal · resource_tonnage

Try with the example

How many tonnes does this volume hold, and how much metal do they contain?

Reference: SAMREC Code (2016) and JORC Code (2012) Table 1: tonnage, grade and contained metal reported together; density on a dry basis

Returns

tonnes
Volume × density
containedMetal
kg (g/t) or tonnes (%)
metalUnit
kg or t
troyOunces
For g/t grades; null for %

The example

{
  "volume": 2500000,
  "density": 2.7,
  "grade": 3.2,
  "gradeUnit": "g/t"
}

Agents: POST /faculty/msc-mineral-economics--mining/resource_tonnage with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Break-even and marginal cut-off grade · cutoff_grade

Try with the example

Below what grade does a tonne of ore not pay for itself — counting mining (break-even), and once already mined (marginal)?

Reference: Lane (1964); Rendu (2014) An Introduction to Cut-off Grade Estimation: break-even and marginal cut-off grades

Returns

breakevenCutoff
g/t, all costs
marginalCutoff
g/t, excluding mining

The example

{
  "miningCost": 35,
  "processingCost": 22,
  "adminCost": 8,
  "pricePerGram": 60,
  "sellingCostPerGram": 1.5,
  "recovery": 0.92
}

Agents: POST /faculty/msc-mineral-economics--mining/cutoff_grade with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Stripping ratio against the break-even · stripping_ratio

Try with the example

Is the waste that must be moved per tonne of ore within what the ore can pay for?

Reference: Hustrulid, Kuchta & Martin (2013) Open Pit Mine Planning and Design: stripping ratio and the break-even stripping ratio

Returns

strippingRatio
Waste ÷ ore
breakevenStrippingRatio
(Value − ore cost) ÷ waste cost
economic
SR ≤ BESR

The example

{
  "wasteTonnes": 18000000,
  "oreTonnes": 4000000,
  "valuePerTonneOre": 95,
  "oreCostPerTonne": 48,
  "wasteCostPerTonne": 9
}

Agents: POST /faculty/msc-mineral-economics--mining/stripping_ratio with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Net smelter return per tonne of ore · nsr_per_tonne

Example filled in — consult below

After recovery, payability and smelter charges, what is a tonne of this ore worth at the mine gate?

Reference: Wellmer, Dalheimer & Wagner (2008) Economic Evaluation in Exploration (2nd ed.): net smelter return under concentrate terms

Returns

concentratePerTonneOre
Tonnes of concentrate per tonne of ore
payableMetalPerTonneOre
Tonnes of payable metal per tonne of ore
nsrPerTonneOre
Net smelter return per tonne of ore

The example

{
  "headGrade": 0.012,
  "recovery": 0.9,
  "concentrateGrade": 0.28,
  "payable": 0.965,
  "pricePerTonneMetal": 9000,
  "refiningChargePerTonne": 180,
  "treatmentChargePerTonneConc": 80,
  "transportPerTonneConc": 60
}

Agents: POST /faculty/msc-mineral-economics--mining/nsr_per_tonne with JSON {pan, …inputs} and the x-402-payment header. Manifest.

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