Answer:
cut-off grade of the copper deposit. = 4.6 kg/ton 0r .46 % cu by weight
Step-by-step 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* recovery* price* conversion factor](https://img.qammunity.org/2020/formulas/geography/college/2qz9o62vgggtel8n9dayyhpluzn9iaw2mc.png)
![= 0.0080* 0.82* 1.73* 1000](https://img.qammunity.org/2020/formulas/geography/college/vxrtia05qnjuw99xxljmtt0ygqa7ff1wat.png)
= 11.3 $/ton
unit profit = (gross value - unit costs)
= (11.3 - 6.5)
=4.84 $/ton
cut off grade of copper deposit
![= ((mining cost))/((recovery* selling\ price))](https://img.qammunity.org/2020/formulas/geography/college/rff3qdv6l494taw5ui28uwyq829x8zcq3n.png)
![= (6.5)/((0.82* 1.73))](https://img.qammunity.org/2020/formulas/geography/college/lx4axppst0hi5vkqrf50pti2a5mp6w9hfu.png)
= 4.6 kg/ton 0r .46 % cu by weight