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7. (20 pts) Economic analysis or benefit-cost analysis (BCA) of a Material Recovery Facility (MRF) includes the consideration of the cost of collection from a

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7. (20 pts) Economic analysis or benefit-cost analysis (BCA) of a Material Recovery Facility (MRF) includes the consideration of the cost of collection from a curbside recycling program, the cost of processing, the avoid landfill cost (ie, tipping fees) from reducing the amount of waste sent for disposal, and the market value of the recycled materials. After a thorough invesitgation for a typical curbeside recycling program with known composition of recyclables, the collection cost is estimated $123/ton. Estimated total construction cost for a MRF $2,262,700 and its average construction cost $22,627 S/ton/day (S/TPD) with a throughput capacity of 100 TPD Estimated capital cost also includes equipment cost for a throughout capacity of 100 TPD which is comprised of sorting systems (vonveyors, trommel screens, and magnets) and processing systems (balers, HDPE granulators, and glass crishers). The total equipment cost is $3,231.467 and its average cost is $32,315 S/TPD Total capital cost is equal to the summation of total construction cost, total equipment cost, and additionallongineering cost, which is $2,262,700, $3,231.467 and $549.100, respectively, and the lump sum of capital cost is $6,043,600 Thus, the average capital cost for construction is $60.436 S/TPD. Total operating cost with a throughput capacity of 100 TPD inlcudes labor cost and operation and maintenance (O&M) cost. It is known that unit labor cost is $21.46 $ TPD and unit O&M cost is $29.03 STPD based on a national survey. Unit operating cost is $50.49 S/TPD. However, tax and depreciation have not been included for this BCA assessment Avoided disposal cost is $22 per ton. Assume that the operating cost remains the same over the facility life The estimates of recycling rates and reveries for 100 tons of recovered materials is shown in Table 3 below based on recycling market Note that with only 3% of mass. aluminium provides 37% of revenue Assume that the recycling revenue remains the same over the facility life Debt service based on an interest rate of 10% and amortized over 20 years for facility and I'M Debt service based on an interest rate of 10% and amortized over 20 years for facility and equipment can be used for calculation of the uniform cash flow of amortized capital cost via the mal equivalent model below: A = Pl- (1+0) where i es interest rate per interest period, w is number of interest period, P is sum of money at a time denoted as present and is a series of equal consecutive, and end-of-period amounts of money (annual equivalent cash flow in thiscase) The term in the bracket is called the Capital Recovery Factor Thus, the average nel cost (Ston) present value is average net cost (s/on) unit capital cost unit collection cost (S/ton) - unit operating cost (5 ton) income (Son) avoided cost (Ston) Table 3: The estimates of recycling rates and reventies for 100 tons of recovered materials Materials Mass (tom) Price (Son) Revenue (S) of Revenue News 23 24 552 where iis interest rate per interest period. It is nuuber of interest period, Pis sum of money at a time denoted as present, and is a series of equal, consecutive, and end-of-period amounts of money (anal equivalent cash flow in thiscase). The term in the bracket is called the Capital Recovery Factor Thus, the average net cost (Soul) as present value is averago net cost (S/ton) wit capital cost unit collection cost (Ston) mit operating cost (s/ton) - income (Ston) avoided cost (s/ton) Table 3: The estimates of recycling rates and revenues for 100 tons of recovered materials Materials Muss (ton) Price (S/ton Revenue (5) % of Revenue Newspaper 16 23 24 552 Corrugated 18 70 3,360 38 6 cardboard 581 7 73 8 280 3 High grade paper Steel Aluminum cans 5 S6 3210 37 TORO 3 1 1 100 100 100 1 100 1 Clear PETE Green PETE Natural HDPE Glass Total 1 320 320 TO 25 3 250 100 100 1.848 8.786 1) What is the average net cost of running the MRF decribed in above? 2) What is the benefit/cost ratio? Is the MRF project economically viable? 7. (20 pts) Economic analysis or benefit-cost analysis (BCA) of a Material Recovery Facility (MRF) includes the consideration of the cost of collection from a curbside recycling program, the cost of processing, the avoid landfill cost (ie, tipping fees) from reducing the amount of waste sent for disposal, and the market value of the recycled materials. After a thorough invesitgation for a typical curbeside recycling program with known composition of recyclables, the collection cost is estimated $123/ton. Estimated total construction cost for a MRF $2,262,700 and its average construction cost $22,627 S/ton/day (S/TPD) with a throughput capacity of 100 TPD Estimated capital cost also includes equipment cost for a throughout capacity of 100 TPD which is comprised of sorting systems (vonveyors, trommel screens, and magnets) and processing systems (balers, HDPE granulators, and glass crishers). The total equipment cost is $3,231.467 and its average cost is $32,315 S/TPD Total capital cost is equal to the summation of total construction cost, total equipment cost, and additionallongineering cost, which is $2,262,700, $3,231.467 and $549.100, respectively, and the lump sum of capital cost is $6,043,600 Thus, the average capital cost for construction is $60.436 S/TPD. Total operating cost with a throughput capacity of 100 TPD inlcudes labor cost and operation and maintenance (O&M) cost. It is known that unit labor cost is $21.46 $ TPD and unit O&M cost is $29.03 STPD based on a national survey. Unit operating cost is $50.49 S/TPD. However, tax and depreciation have not been included for this BCA assessment Avoided disposal cost is $22 per ton. Assume that the operating cost remains the same over the facility life The estimates of recycling rates and reveries for 100 tons of recovered materials is shown in Table 3 below based on recycling market Note that with only 3% of mass. aluminium provides 37% of revenue Assume that the recycling revenue remains the same over the facility life Debt service based on an interest rate of 10% and amortized over 20 years for facility and I'M Debt service based on an interest rate of 10% and amortized over 20 years for facility and equipment can be used for calculation of the uniform cash flow of amortized capital cost via the mal equivalent model below: A = Pl- (1+0) where i es interest rate per interest period, w is number of interest period, P is sum of money at a time denoted as present and is a series of equal consecutive, and end-of-period amounts of money (annual equivalent cash flow in thiscase) The term in the bracket is called the Capital Recovery Factor Thus, the average nel cost (Ston) present value is average net cost (s/on) unit capital cost unit collection cost (S/ton) - unit operating cost (5 ton) income (Son) avoided cost (Ston) Table 3: The estimates of recycling rates and reventies for 100 tons of recovered materials Materials Mass (tom) Price (Son) Revenue (S) of Revenue News 23 24 552 where iis interest rate per interest period. It is nuuber of interest period, Pis sum of money at a time denoted as present, and is a series of equal, consecutive, and end-of-period amounts of money (anal equivalent cash flow in thiscase). The term in the bracket is called the Capital Recovery Factor Thus, the average net cost (Soul) as present value is averago net cost (S/ton) wit capital cost unit collection cost (Ston) mit operating cost (s/ton) - income (Ston) avoided cost (s/ton) Table 3: The estimates of recycling rates and revenues for 100 tons of recovered materials Materials Muss (ton) Price (S/ton Revenue (5) % of Revenue Newspaper 16 23 24 552 Corrugated 18 70 3,360 38 6 cardboard 581 7 73 8 280 3 High grade paper Steel Aluminum cans 5 S6 3210 37 TORO 3 1 1 100 100 100 1 100 1 Clear PETE Green PETE Natural HDPE Glass Total 1 320 320 TO 25 3 250 100 100 1.848 8.786 1) What is the average net cost of running the MRF decribed in above? 2) What is the benefit/cost ratio? Is the MRF project economically viable

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