Mining Economics: Grade, Tonnage, Cut-Off & Mine NPV
Convert tonnes and grades into ounces and pounds, build a grade-tonnage curve, find break-even and marginal cut-off grades, test strip ratios, calculate NSR per tonne, schedule a mine life, value the mine with NPV and IRR, and build AISC per ounce with a gold-price sensitivity: 8 graded labs on a fictional gold-copper deposit.
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What you'll build
What you will be able to do
Each lab ends with a concrete result that you build yourself and the checker confirms, cell by cell.
- Turn five geological zones of the Kestrel Ridge deposit into tonnes of ore, ounces of gold and pounds of copper, and find the tonnage-weighted average grade.
- Build the grade-tonnage curve of Kestrel Ridge from a binned block model: tonnes, average grade and contained ounces above ten cut-off grades, then chart it.
- Calculate the net value of one gram of gold in the ground and the break-even and marginal cut-off grades for three ways of mining and processing Kestrel Ridge.
- Calculate the strip ratio of five pit phases, turn the cost per tonne moved into a cost per tonne of ore, and test each phase against the break-even strip ratio.
- Follow copper and gold from the ore through the flotation plant to the smelter and calculate the net smelter return per tonne of four ore types.
- Schedule the Kestrel Ridge reserve through the mill year by year with a ramp-up, calculate the gold produced, count the mine life and chart the production profile.
- Turn the Kestrel Ridge schedule into an annual cash flow with revenue, royalty, operating cost and capex, and value the mine with NPV at 5 % and IRR.
- Build the cash cost and all-in sustaining cost (AISC) per ounce for four years, then test how AISC, margin and cash flow change with the gold price.
About this course
Whether a deposit is worth mining depends on a handful of linked calculations, from grade to cash flow. This course takes you through them in order. You convert volume and density into tonnage and contained metal in grams per tonne, percent and ounces, then build a grade-tonnage curve showing tonnes and average grade above each cut-off. A break-even cut-off grade combines cost, price, recovery and payability. You work out the strip ratio, mining cost per tonne of ore and the break-even strip ratio, then calculate net smelter return per tonne. An annual production schedule sets the mine life, cash flows give NPV and IRR with capex and royalties and the final lab tests all-in sustaining cost against the gold price.
Curriculum
Course content
8 lessons · 8 labs · 2 h · final exam
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- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Final exam
Certificate
Finish with a certificate you can verify
Complete every lesson and pass the final exam to receive a certificate of completion for this course, with a unique credential ID and a public verification page.
- Names the course, your score and the date of issue
- A verification link for your CV or LinkedIn profile
- 12 questions, 75% to pass, unlimited retries.
A Tutorvo certificate confirms that you completed a course. It is not an official or professional qualification.
Before you buy
Questions about this course
Is this a subscription?
No. You pay $9.99 once for this course. There is no subscription and nothing renews automatically. Prices are in US dollars; taxes may be added where required.
What exactly do I get?
All lessons and labs of this course, the final exam and the certificate, including later updates to the course, for as long as Tutorvo offers it. Access is personal and tied to your account.
Can I get a refund?
Yes. If you are not satisfied, email hello@tutorvo.com within 14 days of buying and we refund the course in full via Stripe. The guarantee does not apply once a certificate for the course has been issued to you, or where there are signs of abuse.
When can I start?
Right after payment. Access starts immediately at your request; for consumers in the EU/EEA the statutory right of withdrawal therefore ends once access has begun, while our 14-day money-back guarantee applies regardless.
Do I need Excel or other software?
No. The labs run in a spreadsheet inside your browser on a laptop, tablet or phone. Function names and syntax follow Excel.
Is the certificate an official qualification?
No. It confirms that you completed all lessons of the course and passed its final exam. It is not an official, state-recognised or professional qualification. The name is taken from your profile when the certificate is issued.
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