Example 9-3 Choose the best option using the B/C analysis. Each project has a service life of 20 years and assume a 6% interest rate and a budget of $5,000. A B C DE F Cost $4,000 $2,000 $6,000 $1,000 $9,000 $10,000 PW of Benefit $7,330 $4,700 $8,730 B/C 1.83 2.35 1.46 1.34 $1,340 $9,000 $9,500 1.0 0.95

6. David is opening an Aerial Adventure Park. He has three mutually exclusive design alternatives: Capital investment Annual receipts Annual expenses Design A $175,000 $115,000 $70,000 Design B $350,000 $150,000 $80,000 Design C $300,000 $125,000 $70,000 Market values are negligible. A 10-year study period is to be used and the MARR is 10% per year. Use the FW Method to determine which alternative should be chosen.

Q4. The cash flow details of a public project is as follows Initial cost /investment BD 250000 Annual benefits/revenues = BD 120000 Worth of annual cost BD 12,000 Salvage value = BD 150000 Interest rate per year = 8% and useful lie = 30 Years Use the three project evaluation methods( PW, FW, AW) and put your decision after every solution. Prepare the cash flow diagram.

Problem 2 – Using NPV benefit-cost ratio and incremental analysis, a 5 year useful life, and a 15% MARR, determine which one of the following alternatives should be selected. Why? A В D E Cost $200 $ 68 $100 $ 32 $125 $ 42 $150 $ 52 $225 $ 68 UAB

Data for problems 5 to 8 Data for four mutually exclusive alternatives are given in the table below. Assume a life of 6 years and a MARR of 10%, and EUAB stands for equivalent uniform annual benefit. Alt. A Alt. B Initial Cost EUAB $140 Salvage $40 Value $560 $340 OC1.45 OD079 $100 So Alt. C $120 $40 SO Alt. D Do SO SO SO Nothing The AB/AC ratio for the third increment, (A-B) is OA 0.94 OB. 0.89

For this problem, consider the five mutually exclusive investment alternatives, A through E, with incremental analysis. Do nothing is not an alternative. |A C Capital $55,000 $90,000 $45,000 $30,000 $70,000 investment Annual $30,000 $40,000 $25,000 $15,000 $35,000 expenses Annual $50,000 $52,000 $38,000 $29,000 $45,000 revenues Market value at $10,000 $15,000 $10,000 $11,000 $15,000 ΕΟΥ 10 IRR ??? 7.4% 26.7% 46.0% 9.2% Useful Life in 10 |10 10 10 10 years When applying incremental analysis, the base alternative is identified, and then the first incremental comparison should be which of the following? Assume the MARR=10%. Choose the correct answer below. The first letter is the base alternative and the second letter is the next alternative in the analysis. A. D - C В. Е - D C. E - A D. D - B E. D - A

Consider four alternatives A, B, C, and D with their respective annual benefits, disbenefits, costs and savings. Alternative A В Benefits P180,000 P250,000 P300,000 P400,000 Disbenefits P42,000 P68,000 P92,000 P118,000 Costs P128,000 P184,000 P265,000 P288,000 Savings P16,000 P27,000 P38,000 P54,000 Calculate the B/C ratio and (B-C) criterion for each alternative. Using the incremental B/C ratio, determine which alternative should be selected. O Select Alternative A O Select Alternative C O Select Alternative B O Select Alternative D

For the following alternatives compute the Delta B/C ratio of Alternative D minus Alternative A. Use 11% as MARR. (Remember for our convention, salvage value is a minus cost.) Project Initial Investment Annual Benefit Salvage Value Useful Life A B D -1500 -2000 -2500 -5200 350 500 600 850 320 610 820 2300 5 6 7 1.73 1.18 0.92 1.46 1.27

4. Using the incremental B / C analysis (∆B/C). Determine the best alternative.5. Using the incremental rate of return (∆RoR) analysis. Determine the best alternative. MARR =10%.                                    A           B             C             DFirst cost                45,000   $25,000   $35,000   $15,000O &M Cost/year      $4,000    $1,500    $3,000      $2,000Benefit/year            $15,000   $9,500    $14,000    $8,000Salvage value         $9,000     $5,000    $7,000      $3,000Life in years              10

The following projects listed in TABLE Q48 are being considered by Muhibbah Fabrication Company for allocation of its annual capital budget. While many worthy projects are available, the money available is limited. All projects have a 5-year life and are acceptable at a 10% interest rate. TABLE Q48: List of available projects to fund Project First Cost (RM) Net Annual Benefits PW (10%) (RM) (RM) 3,200 2,131 6,000 2,745 5,000 2,000 A B C D 10,000 20,000 A. B. C. D. 15,000 5,000 3,954 2,582 A B C D C B D A B C A D B-A-C-D Use this information, answer Q48 through Q50: 48. Rank the projects in descending order (best to worst) using PW at an interest rate of 10%. IRR (%) 49. Rank the projects in descending order (best to worst) based on IRR. A. B C A-D B. B A C D C. D→C-A-B D. D-B-C-A 18.03 15.24 19.86 28.65 50. If there is only RM30,000 allocated for capital budget, determine the MARR applicable for the funded projects. A. 28.65% B. 19.86% C. 18.03% D. 15.24%