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A mine technician from another college visiting the Haileybury School of Mines was asked to solve the following question. A mine produces three separate ore

  1. A mine technician from another college visiting the Haileybury School of Mines was asked to solve the following question.

A mine produces three separate ore concentrates. The ore concentrates assay 35 % Zn, 38% Cu and 26% Pb respectively. The cost of shipping each of the concentrates to the nearest smelter is $28/ton. The treatment cost for each of the concentrates is $85 /ton and the smelter recovery for each metal in the ore concentrates is 92.5%. The penalty for impurities in each of the concentrates is $33/ton. Assuming the price for Zn is $1.23/lb, Cu is $2.56 /lb and Pb is $1.01/lb calculate:

  1. The Total Gross Value of the three concentrates.

  1. The Total Net Smelter Return of the three concentrates.

The visiting mine technician write the following solution for this question and shows it to a Haileybury Mine Technician student.

a)

Zn

Price = 1.23 x 2,000 lbs = $2,460/ton

  • Shipping = $28/ton
  • Treatment = $85/ton

Gross Value = $2,460-$28-$85 = $2,347/ton / 2,000 = $1.17/lb

Cu

Price = 2.56 x 2,000 lbs = $5,120/ton

  • Shipping $28/ton
  • Treatment = $85/ton

Gross Value = $5120-$28-$85 = $5,007/ton / 2,000 = $2.50/lb

Pb

Price = 1.01 x 2,000 lbs = $2,020/ton

  • Shipping $28/ton
  • Treatment = $85/ton

Gross Value = $2,020-$28-$85 = $1,907/ton / 2,000 = $0.95/lb.

b)

Zn

Gross Value = $2,347/ton

  • Penalty = $33 x 92.5% = $30.53/ton
  • Recovery loss = (100%-92.5%) x $2,347 =$176.03/ton

Smelter return = $2,347-30.53-176.03 = $2,140.44/ton / 2000 = $1.07/lb.

Cu

Gross Value = $5,007/ton

  • Penalty = $33 x 92.5% = $30.53/ton
  • Recovery loss = (100%-92.5%) x $5,007 =$375.53/ton

Smelter return = 5,007-30.53-375.53 = $4600.94/ton / 2000 = $2.30/lb.

Pb

Gross Value = $1,907/ton

  • Penalty = $33 x 92.5% = $30.53/ton
  • Recovery loss = (100%-92.5%) x $1,907=$143.03/ton

Smelter return = 1,907-30.53-143.03 = $1733.44/ton / 2000 = $0.87/lb.

The Haileybury student reviews the solution and tells the visiting Mine Technician it is wrong.

Explain in detail why the Mine Technician solution is incorrect and write the correct solution for this question. (6 points)

please type your answer, please do not write on the paper and post it

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