7 5 Show all work, write out equations or in cell formula 6 Exercise 3: (10 pts.) Open Pit Optimization and Mine Production Plan: Figure 1 illustrates a section of an open pit layout to be optimized to generate the mineable reserves, maximum pit value and the associated stripping ratio for production planning purposes. The unit cost of mining either waste or ore from the first row (bench) is $10.00/ton, and this unit cost will increase by $2.00/ton/bench beneath the first bench. The unit cost of extra waste haulage and waste dump management is $2/ton. The unit ore processing cost is $16.00/ton. Block dimensions are 50 ft (high) X 50 ft (width) X 50 ft (thick). Waste density = ore density = 2.00 tons per cubic yard. The expected revenues from the ore blocks from Figure 1 are provided in Table 1. A B C D E F G H I J K L 13 14 1 = 1 15 16 17 18 19 20 21 22 23 24 25 I w w w w w WW WWW | ww wwww W w W w w w w w w w w w w w w w w w w w w w w w w w w w w w | wwww Ww WW W w To 0 0 1 0 w w w w w w w W w w w w w wooo W | WWWWW WWW Www wooo www Www W w WOOO | WW W w W W W w wooo 100 W w | w Ww wWw wW0 0 0 0 0 w w w w w w w 3330 0 0 0 0 0 26 Oo W I w 27 28 w 30 31 32 33. 34 Figure 1: 2D Section of a Gold Deposit (W - Waste Block; O - Ore Block) 35 Table 1: Expected Revenues from Ore Blocks in Mine Layout Blocks in Row Revenue ($/ton) 80 80 80 100 100 100 Problems: 1) Given the above data, estimate the total costs, total revenues and the economic block values for extracting waste blocks and extracting and processing ore blocks from each be 2) Using the floating cone algorithm, obtain the optimized pit layout, the mineable reserves, the optimized pit value and the associated stripping ratios in tons/ton. 3) Using the 2D Lerchs-Grossmann's algorithm, obtain the optimized pit layout, the mineable reserves, the optimized pit value and the associated stripping ratios in tons/ton. 7 5 Show all work, write out equations or in cell formula 6 Exercise 3: (10 pts.) Open Pit Optimization and Mine Production Plan: Figure 1 illustrates a section of an open pit layout to be optimized to generate the mineable reserves, maximum pit value and the associated stripping ratio for production planning purposes. The unit cost of mining either waste or ore from the first row (bench) is $10.00/ton, and this unit cost will increase by $2.00/ton/bench beneath the first bench. The unit cost of extra waste haulage and waste dump management is $2/ton. The unit ore processing cost is $16.00/ton. Block dimensions are 50 ft (high) X 50 ft (width) X 50 ft (thick). Waste density = ore density = 2.00 tons per cubic yard. The expected revenues from the ore blocks from Figure 1 are provided in Table 1. A B C D E F G H I J K L 13 14 1 = 1 15 16 17 18 19 20 21 22 23 24 25 I w w w w w WW WWW | ww wwww W w W w w w w w w w w w w w w w w w w w w w w w w w w w w w | wwww Ww WW W w To 0 0 1 0 w w w w w w w W w w w w w wooo W | WWWWW WWW Www wooo www Www W w WOOO | WW W w W W W w wooo 100 W w | w Ww wWw wW0 0 0 0 0 w w w w w w w 3330 0 0 0 0 0 26 Oo W I w 27 28 w 30 31 32 33. 34 Figure 1: 2D Section of a Gold Deposit (W - Waste Block; O - Ore Block) 35 Table 1: Expected Revenues from Ore Blocks in Mine Layout Blocks in Row Revenue ($/ton) 80 80 80 100 100 100 Problems: 1) Given the above data, estimate the total costs, total revenues and the economic block values for extracting waste blocks and extracting and processing ore blocks from each be 2) Using the floating cone algorithm, obtain the optimized pit layout, the mineable reserves, the optimized pit value and the associated stripping ratios in tons/ton. 3) Using the 2D Lerchs-Grossmann's algorithm, obtain the optimized pit layout, the mineable reserves, the optimized pit value and the associated stripping ratios in tons/ton