A rectangular swimming pool is 25 meters long and 10 meters wide. If the pool has an average depth of 2 meters, how many cubic meters of water are needed to fill it?
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Assignment Question 1.8 General finance
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- The town of Melville needs to obtain an additional supply of water from a nearby river. They have been offered two options: diverting water at a point 8 miles upstream and allowing gravity to move the water to the town (the "gravity" plan), or diverting water at a point much closer to the town and using pumps to move the water to the town (the "pumping" plan). The pumping plan would be built in two stages, with half of its capacity installed initially and the other half installed ten years later. For both options, the town wants to use a 40-year life, 10% interest, and no salvage value. The projected costs are in the table below: Initial Cost Additional investment at the end of the 10th year Annual Operation and Maintenance, excluding Power Annual Power Cost Gravity $2,800,000 None $10,000 $25,000 $75,000 Use an Annual Worth analysis to determine the most economical plan for the town. Pumping None $1,400,000 $200,000A consulting engineer is considering two methods for lining landfill for municipal solid waste management in Bannock County, Idaho. A geosynthetic bentonite clay liner (GCL) will cost $2.0 million to install, and if it is renovated after 4 years at a cost of $400,000, its life can be extended another 2 years. Alternatively, a high-density polyethylene (HDPE) geomembrane can be installed that will have a useful life of 12 years. At an interest rate of 6% per year, how much money can be spent on the HDPE liner for the two methods to break even?A new storm drainage system must be constructed right away to reduce periodic flooding that occurs in a city that is in a valley. Five mutually exclusive designs have been proposed, and their present worth (in thousands of dollars) of costs and benefits are the following. Solve, a. Which system has the greatest B–C ratio? b. Which system has the largest incremental B–C ratio(based on differences between alternatives)? c. Which system should be chosen ?
- The Cebu City plans to increase the capacity of her existing water transmission lines. Two plans are under consideration. Plan A requires the construction of a parallel pipeline, the flow being maintained by gravity. The initial cost is P197,342,811 and the life is 40 years, with an annual operating cost of P8,450,154 for the 1st 20 years and P13,297,046 for the next 20 years. Plan B requires the construction of a booster pumping station costing P100M with the life of 40 years. The pumping equipment cost an additional amount of P25M, it has a life of 20 years and a salvage value of P2M. The annual operating cost is P5M. Using the Present Value (PV) Method and an interest of 21% cpd. annually, what is the PV of Plan A?Water supply for an irrigation system can be obtained from a stream in some nearby mountains. Two alternatives are being considered, both of which have essentially infinite lives, provided proper maintenance is performed. The first is a concrete reservioir with a steel pipe system and the second is an earthen dam with a wooden aqueduct. Below are the costs associated with each. Compare the present worths of the two alternatives, using an interest rate of 8%. Which alternative should be chosen {Perform all calculations using 5 significant figures and round any monetary answers to the nearest dollar}? Concrete Reservoir 550,000 2,250 N/A First Cost [dollars] Annual Maintenance Costs [dollars] Replacing the wood portion of the aqueduct each 15 years The cost Concrete Reservoir is (in PW dollars): Earthen Dam 230,000 15,000 120,000 Number The cost of the Earthen Dam plus Aqueduct is (in PW dollars): Number Which alternative should be chosen (enter either 'Reservoir' or 'Dam'?The Logan Well Services Group is considering two sites for storage and recovery of reclaimed water. The mountain site (MS) will use injection wells that cost $4.2 million to develop and $280,000 per year for M&O. This site will be able to accommodate 150 million gallons per year. The valley site (VS) will involve recharge basins that cost $11 million to construct and $400,000 per year to operate and maintain. At this site, 720 million gallons can be injected each year. If the value of the injected water is $3.00 per thousand gallons, which alternative, if either, should be selected according to the B/C ratio method? Use an interest rate of 8% per year and a 20-year study period. The B/C ratio is . Select alternative (Click to select) neither of the alternatives mountain site valley site .
- The Highridge Water District needs an additional supply of water from Steep Creek. The engineer has selected two plans for comparison: Gravity plan: Divert water at a point 10 miles up Steep Creek and carry it through a pipeline by gravity. Pumping plan: Divert water at a point near the district and pump it through 2 miles of pipeline. The pumping plant can be built in two stages: half now and half 10 years later Annual benefits are $190,00 for both plans. Use a 35-year analysis period and 6% interest. Salvage values can be ignored. Use the conventional benefit–cost ratio method to select the more economical plan.A new storm drainage system must be constructed right away to reduce periodic flooding that occurs in a city that is in a valley. Five mutually exclusive designs have been proposed, and their present worth (in thousands of dollars) of costs and benefits are the following. a. Which system has the greatest B-C ratio? b. Which system has the largest incremental B-C ratio (based on differences between alternatives)? c. Which system should be chosen? System 1 2 3 4 5 PW of $800 $5,000 $5,000 $12,000 $11,000 costs PW of 6,000 14,000 6,000 22,000 18,000 benefits a. System v has the greatest B-C ratio, which is (Round to two decimal places.)A large land-grant university that is currently facing severe parking problems on its campus is considering constructing parking decks off campus. A shuttle service could pick up students at the off campus parking deck and transport them to various locations on campus. The university would charge a small fee for each shuttle ride, and the students could be quickly and economically transported to their classes. The funds raised by the shuttle would be used to pay for trolleys, which cost about $170,000 each. Each trolley has a 12-year service life, with an estimated salvage value of $12,000. To operate each trolley, additional expenses will be incurred, as given in the table below. If students pay 10 cents for each ride, determine the annual ridership per trolley (number of shuttle rides per year) required to justify the shuttle project, assuming an interest rate of 6%. Click the icon to view the additional expenses. Click the icon to view the interest factors for discrete compounding…
- A municipal engineer is evaluating two alternatives for adding capacity to the water supply system for the city. The first alternative is a dam with a cost of $80,000,000.00 that will require operating and maintenances costs of $250,000.00 per year. The dam will have an infinite life. The second alternative under consideration is a pipeline to transport water from a nearby lake. The pipeline costs $4,500,000.00, it will last five years, and it has operating and maintenance costs of $500,000.00 per year. Using an interest rate of 5%, which alterna- tive should be selected by the city based on capitalized cost?In the aftermath of Hurricane Thelma, the U.S. Army Corps of Engineers is considering two alternative approaches to protect a freshwater wetland from the encroaching seawater during high tides. The first alternative, the construction of a 5-mile long, 20-foot-high levee, would have an investment cost of $25,000,000 with annual upkeep costs estimated at$725,000. A new roadway along the top of the levee would provide two major benefits: (1) improved recreational access for fishermen and (2) reduction of the driving distance between the towns at opposite ends of the proposed levee by 11 miles. The annual benefit for the levee has been estimated at $1,500,000. The second alternative, a channel-dredging operation, would have an investment cost of $15,000,000. The annual cost of maintaining the channel is estimated at $375,000. There are no documented benefits for the channel-dredging project. Using a MARR of 8% and assuming a 25-year life for either alternative, apply the incremental B–C…please go step by step or explain how you got the answer