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show all work clearly Thank you A city DOT is purchasing a new snow plow for win

ID: 2795189 • Letter: S

Question

show all work clearly Thank you

A city DOT is purchasing a new snow plow for winter road maintenance. The agency is considering three alternatives. Given the following information about each alternative, use 2. al benefit-cost analysis to determine which option the agency should choose. Assume i = 3%. Initial cost Life Annual operations Total annual benefits Annual maintenance cost increase after year 1 Option A Option B Option C $300,000 $400,000 $200,000 10 yrs $45,000 $150,000 $200,000 $125,000 10 yrs $35,000 5 yrs $40,000 $2,500 $5,000 $5,000

Explanation / Answer

Plan B is the best as it has the highest NPV value.

A B C D E F 2 Rate 3% 3 Option A Option B Option C Formula (Ref: Plan A) 4 Initial cost          300,000              400,000            200,000 5 Life                    10                        10                        5 6 Annual ops            45,000                35,000              40,000 7 Total annual benefits          150,000              200,000            125,000 8 Annual maintainence cost increase after year 1              2,500                  5,000                5,000 9 10 Year 1        (195,000)            (235,000)          (115,000) -C4-C6+C7 11 Year 2          102,500              160,000              80,000 C7-C6-C8 12 Year 3          100,000              155,000              75,000 C11-$C$8 13 Year 4            97,500              150,000              70,000 14 Year 5            95,000              145,000              65,000 15 Year 6            92,500              140,000 16 Year 7            90,000              135,000 17 Year 8            87,500              130,000 18 Year 9            85,000              125,000 19 Year 10            82,500              120,000 NPV $513,637 $837,590 $150,656 NPV($C$2, C10:C19)