One method for developing a mine containing an estimated 100,000 tons of ore will result in the recovery of

56%

of the available ore deposit and will cost

$25

per ton of material removed. A second method of development will recover only

54%

of the ore deposit, but it will cost only

$16

per ton of material removed. Subsequent processing of the removed ore recovers 300 pounds of metal from each ton of processed ore and costs

$37

per ton of ore processed. The recovered metal can be sold for

$0.82

per pound. You can sell all the metal that is recovered. Which method for developing the mine should be used if your objective is to maximize total profit from the mine?