Using Present worth Analysis, please calculate the best alternative (interest rate of 6%) 9,000 Device A A = 4,000 n = 4 years P= 10,200 3000 Device B 3500 4000 = 4 years 4500 5000
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- Question 7 Question 4.30 Problem Value = 5 Diana usually uses a three-year payback period to determine if a project is acceptable. A recent project with uniform yearly savings over a five-year life had a payback period of almost exactly three years, so Diana decided to find the project's present worth to help determine if the project was truly justifiable. However, that calculation didn't help either since the present worth was exactly 0. What interest rate was Diana using to calculate the present worth? The project has no salvage value at the end of its five-year life. Diana's interest rate was (just input the number...and round to the nearest whole pecent): ____________% [5/5]A proposed project has the following costs and benefits. Using linear interpolation, the project’s discounted payback period (use i=10%) is _____________. Year Costs Benefits 0 $4,000 1 $1,200 2 $1,200 3 1,000 4 1,000 5 3,000 6 2,000 A. 6.35 years B. 5.82 years C. 4.24 years D. 3.37 yearsDetermine which alternative is the most viable by incremental B / C (values in thousands),considering an interest rate of 3%A B C D E FInitial cost 500 550 300 550 500 600Total annual costs $ 360 480 180 600 300 660Annual income $ 550 620 325 900 550 800Against annual profits 300 300 400 300 300 200 ---Methods of economic evaluation of alternatives----
- 14.28 A new toll bridge is to be constructed over the Green River at a cost of $120M. The bridge requires maintenance costing $4000 annually over its 50-year life. Every 10 years, the bridge will require repainting at a cost of $1M. The value to motorists using this bridge is estimated to be $1.60 per trip. If the interest rate is 10% and 25,000 vehicles per day travel over the bridge, how much toll should be charged for each crossing? Rounding that toll up to the nearest nickel, what is the consumers’ surplus? 14.29 A dam may be built at a cost of $10M to elimi- nate the periodic flooding that Lowville experi- ences. That flooding averages a cost of $300K per year. Additional expenses can be incurred to divert water to another area for irrigation, to add electric power generation, and to permit recre- ation. Which alternative is best? Since political support is crucial, allocate the costs to the uses. The…Construct a cash flow timeline with n=10 years. Include a Year 0 cost of P0, at least two future costs in two different years (F1 and F2), a series of 5 annual costs (A) that start in a year that you select, and a single income in year 10 from salvage (S). Now you have a timeline and economic model but no dollar cost estimates. Using your cash flows above, build two different ‘factor’ equations that can be used to compute the overall Present Value (P) using the timeline cash flows from your timeline. Let the interest rate be a variable named i%. Use the cost variable’s name to represent the cash flow dollars and write each equation to produce an overall model for Present Value at time 0.4) Which of the following power plants is better investment, assuming 8% interest on the sinking fund and no salvage value in either case, taxes/insurance at 10% and interest on capital at 12%. Use ROR and Present Worth Method. - Coal plant which costs P1M, last 10 years and cost annually P100k to operate. - Fuel-oil plant which costs P800k will last 7 years and cost annually P70k to operate.
- 1.) Clinix is considering four independent projects. Given: All the projects will be economically viable for only 10 years; Company’s MARR = 12% per year Find: Which project should be selected based on a present worth analysis. *Note* Financial values are in $1,000 units. Project A Project B Project C Project D First Cost ($) -2,700 -1,400 -10,000 -9,500 Annual Net Profit ($/year) 800 1,200 2,400 3,200 Salvage Value ($) 25 30 45 605 a. What is the payback period (Be exact to 1 decimal place) of the cash flow below? (I am attaching an image for the figure)5 b. A project has the following costs and benefits. What is the payback period (Be exact to 1 decimal place)? Year Cost Benefits0 300001-3 15,000 each year 12,000 each year4 7000 30005-10 11,000 each yearA project is being planned that has an initial investment at time 0, annual revenuesand expenses, and a salvage value at the end of the project lifespan (20 years). The financialvalues are summarized below:Initial investment amount at time 0 $150,000Estimated annual revenue $34,500 per yearEstimated annual expenses $8,700 per yearEstimated salvage value at end of lifespan $10,000Minimum attractive rate of return (MARR) 15%a. Calculate the capital recovery amount CR(i%).b. Using the annual worth (AW) method, determine whether purchasing the equipmentis economically justified.c. Repeat part (a) using the internal rate of return (IRR) method based on annual worth(AW).d. Using the present worth (PW) method, determine the break-even time period afterwhich purchase of the equipment generates a profit. (Find N when PW = 0) year period.
- P is using an 11% annual interest rate to decide if they should buy Truck A or Truck B. Which truck is more economical to buy, assuming that the two trucks serve similarfunctions and purposes? Use (a) Annual Cost Method (b) Present Worth Method, (c) Rateof Return on Additional Investment method. Formulas to be used: Rate of return on additional investment =(Savings of Benefits / Additional Capital) x 100% ROR≥ MARR (Choose the alternative with larger capital) ROR ≤ MARR (Choose the alternative with lesser capital investment)4.) A piece of equipment is required for a project. Consider the two options. For each option, determine the following: a. A Cash Flow Diagram b. The Present Worth for a period of ten years c. Estimated Break-Even Point I. Option 1: Initial cost to purchase is equipment is $450,000. Annual O&M costs are $1,200 per year starting at the end of the second year. Estimated annual savings for the new piece of equipment is $60,000 starting at the end of the first year. The interest rate for purchasing the equipment is 6%. The salvage value is expected to be $110,000 at the end of 8 years. II. Option 2: Leasing the new piece of equipment would cost $45,000 per year. Annual O&M costs are $1,800 per year starting at the end of the second year. Estimated annual savings for the new piece of equipment is $55,000 starting at the end of the first year. The interest rate for leasing the equipment is 6%. A credit of $4,000 is expected beginning at the fourth year for leasing the equipment.A county in Tennessee is considering the following public interest project. Initial Cost $22.5M Annual Maintenance Cost $525K EUAB $3.3M Given a useful life of 12 years and an interest rate of 4%, the benefit /cost ratio is _____________________. Group of answer choices 1.01 1.13 1.51 1.67 1.48
