The following net cash flows relate to two projects: NET CASH FLOWS (IN $1,000) YEAR 0 1 2 3 4 5 6 PROJECT A -60 20 20 20 20 20 20 PROJECT B -72 45 22 20 13 13 13 Which of the two projects would you prefer if they are mutually exclusive, given a 15% discount rate? Take both as they are above the MARR None would be good because they have a similar IRR. Prefer A Prefer B
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- With interest at 10%, what is the benefit-cost ratio for this government project? Initial Cost Additional costs at the end of year 1 and year 2 Benefits at end of year 1 and year 2 Annual benefits at end of year 3 through year 2 Enter your answer as follow 12.34 $208,355 $23,720/year $0Ayear $91.825/year(a) You are trying to decide the plant size for a new chemical production process. By considering three alternative plant sizes, estimate the minimum plant size to achieve a 14% Discounted Cash Flow rate of return using the data given in TABLE Q2 (When choosing alternative plant sizes, it is suggested to use +50,000 t y') TABLE Q2 Current capital cost of a 100 000 t y1 plant Construction time €160 million 1 Net income Plant life Plant scale factor year 400 € per tonne 5 years 0.67Given the following cash flows and if MARR=20% What is the external rate of return? (ERR] Ans. xu% Year Cash Flow $275,000 $35,000 $65,000 3-6 $95,000 7 $135,000 $185,000 9-20 $245,000 2) 80
- BASED ON ESTIMATES THE DATA FOR TWO TYPES OF BRIDGES WITH DIFFERENT LIVES ARE AS FOLLOWS. IFTHE MINIMUM RATE OF RETURN IS 9%, DETERMINE W/C PROJECT IS MORE DESIRABLE. TIMBER BRIDGE STEEL BRIDGEFIRST COST P 50,000.00 P 140,000.00SALVAGE VALUE 2,000.00 10,000.00LIFE IN YEARS 12 36ANNUAL MAINTENANCE 6,000.00 2,500.00EVALUATE USING:A.) THE ANNUAL COST METHODB.) PRESENT WORTH COST METHODC.) RATE OF RETURN METHODQuestion 10: Consider the following cash flow profile and assume MARR is 12%/year. End of Year 1 2 3 Cash Flow -1000 3400 -5700 3800 a. What does Descartes' rule of signs tell us about the IRR (s) of this project? b. What does the Norstrom's criterion tell us about the IRR (s) of this project? c. Determine the ERR for this project. Is this project economically attractive?2. Two alternatives, a flexible manufacturing cell and fixed automation, have different cost and revenue characteristics as follows: Flexible Cell Fixed Automation Investment S2,500,000 б уears S800,000 in first year; increasing by $100,000 each year thereafter $300,000/year $1,500,000 3 years S800,000/year Life Gross cash savings s100,000 in the first year; decreasing to S80,000 in second year and S70,000 in third year Cash disbursement MARR 20% 20% Assuming "repeatability" and service needed for 6 years, show which alternative is preferred using the method of rate of return.
- You are considering an open-pit mining operation. The cash flow pattern issomewhat unusual since you must invest in some mining equipment, conductoperations for two years, and then restore the sites to their original condition.You estimate the net cash flows to be as follows: N Cash flow 0 -$1,600,0001 1,500,0002 1,500,0003 -700,000 What is the approximate rate of return of this investment?(a) 25%(b)38%(c) 42%(d)62%-Two alternatives are shown in the table below. If the MARR is 20%, which alte mative should be selected and why? Remember to show your work!) (Estimated Rasponse Times for Awarage Student: 7 minutes) Year C C Altemative A $3.000) $1,200 $1,300 $1,300 Alemative B $1.500 $1.500 $1,500 a. Choose Altemative B because the incremental rate of retum is 18.22%, which is less than the MARR, therefore the more expensive aftemative should be selected b. Choose Altemative B because it has an IRR of 11.25% where as Alternative A only has an IRR of 9.70% c. Choose Altemative A because the incremental rate of retum is 1.54%, which is less than the MARR, therefore the cheaper alternative should be selected d. Choose Altemative A because the incremental rate of retum is 18.22%, which is less than the MARR, therefore the cheaper altemative should be selected e. Choose Altemative B because the incremental rate of retum is 1.54%, which is less than the MARR, therefore the more expensive altemative should…Three mutually exclusive design alternatives are being considered. The estimated cash flows for each alternative are given next. The MARR is 20% per year. At the conclusion of the useful life, the investment will be sold A B $28,000 $55,000 Capital Investment Annual Expenses Annual Revenues MV at EOY 10 Useful life ACapital Investment AMarket Value AAnnual Income (REV - EXP) Blank 1 15,000 AIRR 23,000 4 PW 6,000 8,000 10,000 10 years 10 years 10 years Use incremental analysis to determine the best alternative on the basis of PW method & IRR method. Is increment justified? 13,000 28,000 Blank 1 Blank 4 Blank 7 Blank 10 Blank 13% Blank 16 C $40,000 Blank 19 22,000 32,000 Blank 2 Blank 5 Blank 8 Blank 11 Blank 14% Blank 17 Blank 20 Blank 3 Blank 6 Blank 9 Blank 12 Blank 15% Blank 18 Blank 21
- Consider a proposed project that has the following costs and benefits. Using linear interpolation, what is the project's simple or conventional payback period? Year Costs Benefits 0 $4,000 1 2,000 2 $1,500 3 1,500 4 1,500 5 2,300 6 2,300 A. 6.58 years B. 4.65 years C. 3.98 years D. 5.41 yearsWhat is the equivalent annual worth of a 20 year project that has a $2 million initial cost, annual operating costs of $75,000 and annual benefits of $250,000? Assume a discount rate of 7.2%. -$188,501 -$18,210 O-$16,730 O$174,520 O$174,5202. Three mutually exclusive design alternatives are being considered. The estimated sales and cost data for each alternative are given on the next page. The MARR is 20% per year. Annual revenues are based on the number of units sold and the selling price. Annual expenses are based on fixed and variable costs. Determine which selection is preferable based on AW. State your assumptions. A в Investment cost Estimated units 60,000 20,000 $50,000 18,000 CLA to be sold/year Unit selling price, $/unit Variable costs, $/unit Annual expenses (fixed) Market value Useful life $4.40 $4.10 $1.00 $1.40 $1.15 $15,000 $30,000 $26,000 $20,000 10 years $15,000 10 years B PUBLICATIO 10 years