The table below shows cash flow estimates for a project. The B/C ratio for the following cash flow estimates calculated at an interest rate of 8.5% is less than 1, which means that the project is currently not justified. Project Items PW of benefits, $ AW of disbenefits, $/year First cost, $ M&O costs, $/yr Life, years What would the maximum first cost be for this project to be justified? 1,092k 864k 776k 674k 660k Estimate 3,300,000 48,500 1,000,000 243,000 18
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- The B/C ratio for the following cash flow estimates calculated at an interest rate of 10% is .89, which means that the project is currently not justified. What would the maximum first cost be for this project to be justified? Item PW of benefits, $ AW of disbenefits, $/year First cost, $ M&O costs, $/yr Life, years Estimate 3,800,000 45,000 1,200,000 310,000 20 775,723 140,952 863,993 1,092,000The following estimates (in $1000 units) have been developed for a security system upgrade at Fairbanks International Airport, FAI. Item Cash Flow First cost, $ 13,000 AW of benefits, $ per year 3,800 FW of disbenefits, year 20, $ 6,750 M&O costs, $ per year 400 Life, years 20 Please calculate your dollar values to the nearest whole dollar. Format 0000 No commas. Please calculate your B/C ratios to 2 decimal places. Format 0.00 Treat any disbenefits as negative benefits and not additional costs. a. Calculate the modified B/C ratio (use AW) at a discount rate of 10% APR, compounded daily. b. Is the project justified? O A. No, the B/C ratio is > 1 O B. Yes, the B/C ratio > 1 Please calculate your dollar values to the nearest whole dollar. Format 0000 No commas. c. Determine the minimum/maximum first cost, FC, that is possible to render the project economically unjustified/justified. $A public works project has an initial cost of P1 000 000, benefits with a present worth of P 1 500 000, and disbenefits worth of P 400 000. What is the benefit cost ratio? Answer:
- Given the data for two alternatives, choose the better alternative using the B/C ratio analysis. MARR = 8% (Hint: If using EUAW, change each first cost to annual fırst then do incremental. If using PW, match the cash flows (rebuy Bottom) before subtracting.) Alternative Bottom Тop First Cost $100,000 $140.000 Operating Costs/Yr 50,000 100,000 60,000 Benefits/Yr 120,000 Maintenance/Yr 30,000 25,000 Life in years 10The Cash flow diagram for any project represents summary of benefits and costs. Select one: O True FalseN5 The following data is provided for a PPP project. To the People To the Government Benefits $130,000 per year beginning now Cost $1.8 million now and $200,000 every 3 years Disbenefits $45,000 per year Savings $90,000 per year Calculate the conventional benefit/cost ratios using an interest rate of 6% per year and an infinite project period.
- Using the incremental B/C analysis (AB/C). Determine the best alternative, i=10% First cost O &M Cost/year Benefit/year Salvage value Life in years A 45,000 $4,000 $15,000 $9,000 B $25,000 $1,500 $9,500 $5,000 10 с $35,000 $3,000 $14,000 $7,000 D $15,000 $2,000 $8,000 $3,000Locations under consideration for a border patrol station have their costs estimated by the federal government. Use the B/C ratio method at an interest rate of 9% per year to determine which location to select, if any. Location Initial Cost, $ Annual Cost, $ per Year Disbenefits, $ per Year Life, Years The AB/C ratio is North N 2,160,000 480,000 70,000 00 South S 2,900,000 445,000 57,000 00SITUATION3: Under the data collected from the office of Department of Transportation and DPWH over the last 5 years indicate that for each fatality, there are 40 non-fatal injury accidents ($1500 present cost each) and 300 property damage accidents ($2000 present cost each). What is the breakeven value of statistical Me (VSL) needed to justify a highway project if i is 8%? The death rate on a particular three-lane road is 8 per 100 million vehicle-miles. Adding a lane would reduce this to 5 per million, and other accidents would cost $1.5M per mile to build, and annual maintenance would be 3% of the first cost. Assume that the lane would last 40 years. The road carries 10000 vehicle per day. Use reduction factor of 3/8 for all accidents. (Non-CE students no need to answer this item).
- A certain masonry dam requires 500,000 cu.m. of gravel for its construction. The contractor found two possible sources for the gravel with the following data: Source A Source B 1.0 km Average distance, gravel pit to dam 4.0 km site Gravel cost/cu.m. at pit Purchase price of pit Road construction necessary Overburden to be removed at P50.00/cu.m. Hauling cost per cu.m. per km P415.00 ------- P800,000.00 P450,000.00 None 80,000 cu.m. P7.00 P7.00 Which of the two sites will give lesser cost?Four mutually exclusive projects are being considered for a new 2-mile jogging track. The life of the track is expected to ing agency's MARR is 9% per year. Annual benefits to the public have been estimated by e shown below. Use the B-C method (incrementally) to select the best jogging track. Problem 10-17 (algorithmic) Q Initial cost Annual benefits B-C ratio A $50,000 $8,000 1.78 Alternative A Alternative B $145,000 $21,000 1.61 $55,000 $9,000 1.82 D $64,000 $10,500 1.82 Perform the incremental B-C Analysis. Fill-in the table below. (Round to two decimal places.) Inc. B-C ratio Is the alternative acceptable? Yes 1.78 □Calculate the conventional benefit-cost ratio for the alternative: Initial Investment Revenues Costs Salvage Value Useful life MARR Select one: a.1.2960 b.1.3130 c.1.3681 d.1.4659 e.1.2114 250000 80000 22000 50000 9 0.1 17