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MMLU-Pro / 288 / Two power line construction routes are being considered. Route A is 15 miles…

Problem

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question

Two power line construction routes are being considered. Route A is 15 miles long and goes around a lake. Each mile will cost 6,000tobuildand6,000 to build and 2,000 a year to maintain. At the end of fifteen years, each mile will have a salvage value of 3,000.RouteBisanunderwaterlinethatcuts5milesacrossthelake.Constructioncostswillbe3,000. Route B is an underwater line that cuts 5 miles across the lake. Construction costs will be 31,000 per mile and annual maintenance costs, 400permile.Thesalvagevalueattheendoffifteenyearswillbe400 per mile. The salvage value at the end of fifteen years will be 6,000 per mile. Assuming interest is 8% and taxes are 3% of the construction costs of each power line, compare the annual costs of Route A and Route B for the first year.
Plain-text mathematical notation (without MathML)
Two power line construction routes are being considered. Route A is 15 miles long and goes around a lake. Each mile will cost 6,000tobuildand2,000 a year to maintain. At the end of fifteen years, each mile will have a salvage value of 3,000.RouteBisanunderwaterlinethatcuts5milesacrossthelake.Constructioncostswillbe31,000 per mile and annual maintenance costs, 400permile.Thesalvagevalueattheendoffifteenyearswillbe6,000 per mile. Assuming interest is 8% and taxes are 3% of the construction costs of each power line, compare the annual costs of Route A and Route B for the first year.
Original LaTeX notation
Two power line construction routes are being considered. Route A is 15 miles long and goes around a lake. Each mile will cost $6,000 to build and $2,000 a year to maintain. At the end of fifteen years, each mile will have a salvage value of $3,000. Route B is an underwater line that cuts 5 miles across the lake. Construction costs will be $31,000 per mile and annual maintenance costs, $400 per mile. The salvage value at the end of fifteen years will be $6,000 per mile. Assuming interest is 8% and taxes are 3% of the construction costs of each power line, compare the annual costs of Route A and Route B for the first year.

category

business

options

  1. $41,558 for Route A and $23,654 for Route B
  2. $45,000 for Route A and $30,000 for Route B
  3. $100,000 for Route A and $50,000 for Route B
  4. $40,000 for Route A and $20,000 for Route B
  5. $80,000 for Route A and $40,000 for Route B
  6. $35,000 for Route A and $25,000 for Route B
  7. $70,000 for Route A and $35,000 for Route B
  8. $60,000 for Route A and $155,000 for Route B
  9. $90,000 for Route A and $155,000 for Route B
  10. $120,000 for Route A and $75,000 for Route B

src

stemez-Business

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Source and history

upstream_id / Original problem ID
288
task_id
e4bc7fbe-d71b-5348-bce5-4cff7d61a163
task_key
default--test--288
task_revision_id
1
config / split
default / test

Official source

initial import