Problem Statement A city must construct a new bridge Four pr

Problem Statement: A city must construct a new bridge. Four proposals were submitted and summarized in the table below. Your task is to help the city determine the optimal project financially.

Bridge Proposals

Assumptions:

Useful Life = 40 years;

Value of Time = $14/hr;

Accident Savings = $2500/accident

Discount Rate = 8%

Part 1: Feasible projects
Compute the benefit/cost ratios of each alternative and determine which are feasible.

Solution

a)

Benefit cost ratio of each alternative is more than 1, thus each alternative is feasible. However Benefit cost ratio of Alternative 2 is best and is equal to 6.38. Hence Alternative 2 is the best Option

b)

Looking at the net benefit per year at the bottom row, Alternative 2 has highest net benefit and hence the best option.

Order the alternatives by increasing AW of costs (Third last row)

Alternative 3(Least AW cost)

Alternative 2

Alternative 4

Alternative 1(Highest AW cost)

Alternative 1 Alternative 2 Alternative 3 Alternative 4
Physiscal Structure Cost 58000000 46000000 40000000 52000000
Annual Operating cost 4000000 2500000 2000000 3000000
Expected Traffic(trips/day) 6400 4800 4500 5800
Travel time reduction (min/trip) 16 10 8 12
Safety Benefits(accident/day) 2 4 2 3
Travel time reduction (hr/year)=Expected traffic*Travel Time reduction*365/60 622933.3 292000.0 219000.0 423400.0
Accident per year=Safety benefit*365 730 1460 730 1095
Value of time per year=Travel time reduction*14 8721066.667 4088000 3066000 5927600
Accident saving per year=Accident per year*2500 18250000 36500000 18250000 27375000
Total Benefit per year=Accident saving+value of time 26971066.67 40588000 21316000 33302600
Annuity factor(40 years@8%) 11.925 11.925 11.925 11.925
P.V of Benefit=Total Benefit per year*Annuity factor 321629970 484011900 254193300 397133505
P.V of Cost=Annual operating cost*Anuuity Factor+Physical Structure cost 105700000 75812500 63850000 87775000
Benefit/cost=P.V of Benefit/P.V of cost 3.042856859 6.384328442 3.981101018 4.524448932
Annual Worth of cost=Annual Operating cost+(Physical structure cost/Annuity Factor) 8863731.656 6357442.348 5354297.694 7360587.002
Annual worth of benefit=Total benefit per year 26971066.67 40588000 21316000 33302600
Net Benefit per year=Annual worth of benefit-Annual worth of cost 18107335.01 34230557.65 15961702.31 25942013
Problem Statement: A city must construct a new bridge. Four proposals were submitted and summarized in the table below. Your task is to help the city determine
Problem Statement: A city must construct a new bridge. Four proposals were submitted and summarized in the table below. Your task is to help the city determine

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