Cutoff Grade Calculator: Mine Economic Optimization Simulator

simulator advanced ~12 min
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Cutoff = 0.47% — moderate grade threshold

At $5000/t metal price, $15/t processing cost, $5/t mining cost, and 85% recovery, the breakeven cutoff grade is 0.47%. Material above this grade generates positive margin.

Formula

g_co = (C_mining + C_processing) / (Price × Recovery) (breakeven cutoff)
NSR = Price × grade × Recovery - C_processing (net smelter return)
Profit = (grade - g_co) × Price × Recovery × tonnes

The Most Important Number in Mining

Cutoff grade determines what is ore and what is waste — a boundary that defines the size, value, and life of every mine on Earth. Get it wrong and you either leave profitable rock in the ground or process material at a loss. The concept is deceptively simple: when the revenue from processing a tonne of rock exceeds the cost of mining and processing it, that rock is ore. But the implications cascade through every aspect of mine planning.

Breakeven Economics

The breakeven cutoff grade equals total cost divided by recoverable metal value per unit grade. At a copper price of $5000/t with 85% recovery, $5/t mining cost and $15/t processing cost, the breakeven is 0.47% Cu. Every tonne above this grade contributes profit; every tonne below destroys value. This simple equation governs billions of dollars in investment decisions worldwide.

Dynamic Optimization

Kenneth Lane revolutionized mine planning in 1988 by showing that the optimal cutoff grade is not simply the breakeven grade. His theory incorporates the time value of money, processing capacity constraints, and the opportunity cost of depleting high-grade reserves early. The result: optimal cutoff grades are higher than breakeven early in mine life, extracting maximum value from the best material first.

Sensitivity and Risk

Cutoff grade is exquisitely sensitive to metal price — a 20% price drop can reduce reserves by 30-40% in a low-grade deposit. This simulation lets you explore how price, cost, and recovery interact to define the economic boundary, revealing why mining companies obsess over cost control and metallurgical optimization.

FAQ

What is cutoff grade in mining?

Cutoff grade is the minimum grade of mineralization that can be mined at a profit. Material above the cutoff is classified as ore; material below is waste. It is determined by the breakeven point where revenue from metal recovery equals total mining and processing costs. Cutoff grade is the most important economic decision in mine planning.

How does metal price affect cutoff grade?

Cutoff grade is inversely proportional to metal price. When prices double, cutoff grade halves — previously uneconomic material becomes ore, increasing reserves. This is why mine reserves fluctuate with commodity cycles, and why marginal mines are highly sensitive to price.

What is metallurgical recovery?

Recovery is the percentage of valuable metal actually extracted from ore through processing (crushing, grinding, flotation, leaching). Typical recoveries range from 70-95% depending on mineralogy and process. Recovery directly affects cutoff grade — lower recovery means higher cutoff.

What is Lane's optimization theory?

Kenneth Lane (1988) demonstrated that optimal cutoff grade considers the limiting constraints of mining, milling, and refining capacity plus the time value of money. His theory shows that maximizing NPV requires higher cutoff grades early in mine life and lower grades later — a principle now standard in strategic mine planning.

Sources

Embed

<iframe src="https://homo-deus.com/lab/mining-engineering/ore-grade/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub