Answer:
cut-off grade of the copper deposit. = 4.6 kg/ton 0r .46 % cu by weight
Explanation:
Given data:
percentage of deposite copper is 0.80%
selling price of cu is $1.73/kg
overall unit cost = $6.5/ton
overall recovery 82%
![Gross value = grade\times recovery\times price\times conversion factor](https://tex.z-dn.net/?f=Gross%20value%20%3D%20grade%5Ctimes%20recovery%5Ctimes%20price%5Ctimes%20conversion%20factor)
![= 0.0080\times 0.82\times 1.73\times 1000](https://tex.z-dn.net/?f=%3D%200.0080%5Ctimes%200.82%5Ctimes%201.73%5Ctimes%201000)
= 11.3 $/ton
unit profit = (gross value - unit costs)
= (11.3 - 6.5)
=4.84 $/ton
cut off grade of copper deposit
![= \frac{(mining cost)}{(recovery\times selling\ price)}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%28mining%20cost%29%7D%7B%28recovery%5Ctimes%20selling%5C%20price%29%7D)
![= \frac{6.5}{(0.82\times 1.73)}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B6.5%7D%7B%280.82%5Ctimes%201.73%29%7D)
= 4.6 kg/ton 0r .46 % cu by weight
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