18. Estimate the unit profit in mining and processing a 0.80% copper ore deposit if the selling price of copper in concentrate is $1.73/kg and overall unit costs are $6.5/ton. Overall recovery is 82%. Calculate the cut-off grade of the copper deposit.

Respuesta :

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%

[tex]Gross value = grade\times recovery\times price\times conversion factor[/tex]

[tex]= 0.0080\times 0.82\times 1.73\times 1000[/tex]

                   = 11.3 $/ton

unit profit = (gross value - unit costs)

                = (11.3 - 6.5)

                =4.84 $/ton

cut off grade of copper deposit

[tex]= \frac{(mining cost)}{(recovery\times selling\ price)}[/tex]

[tex]= \frac{6.5}{(0.82\times 1.73)}[/tex]

       = 4.6 kg/ton 0r .46 % cu by weight