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MMLU-Pro / 237 / Two pumping systems are being considered for use on a project. The gasoline pump…

Problem

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question

Two pumping systems are being considered for use on a project. The gasoline pump will cost 3,500,hasa6yearlifeyear,anda3,500, has a 6 year life year, and a 500 salvage value. Annual operating and repair costs would be 2,000thefirstyear,andwouldrise2,000 the first year, and would rise 300 each succeeding year. The electric pumping system costs 12,000,hasalifeof6yearsandasalvagevalueof12,000, has a life of 6 years and a salvage value of 1,000. Annual operating and maintenance costs would be 1,000thefirstyear,andwouldrise1,000 the first year, and would rise 150 each year. If the current interest rate is 10%, compare the equivalent annual costs of the two pumping systems. Assume all maintenance and repair costs are paid at the end of each year.
Plain-text mathematical notation (without MathML)
Two pumping systems are being considered for use on a project. The gasoline pump will cost 3,500,hasa6yearlifeyear,anda500 salvage value. Annual operating and repair costs would be 2,000thefirstyear,andwouldrise300 each succeeding year. The electric pumping system costs 12,000,hasalifeof6yearsandasalvagevalueof1,000. Annual operating and maintenance costs would be 1,000thefirstyear,andwouldrise150 each year. If the current interest rate is 10%, compare the equivalent annual costs of the two pumping systems. Assume all maintenance and repair costs are paid at the end of each year.
Original LaTeX notation
Two pumping systems are being considered for use on a project. The gasoline pump will cost $3,500, has a 6 year life year, and a $500 salvage value. Annual operating and repair costs would be $2,000 the first year, and would rise $300 each succeeding year. The electric pumping system costs $12,000, has a life of 6 years and a salvage value of $1,000. Annual operating and maintenance costs would be $1,000 the first year, and would rise $150 each year. If the current interest rate is 10%, compare the equivalent annual costs of the two pumping systems. Assume all maintenance and repair costs are paid at the end of each year.

category

business

options

  1. The electric pump has higher initial cost but lower overall cost due to lower maintenance
  2. Both pumps have the same costs
  3. Both pumps have variable costs that depend on the price of fuel and electricity
  4. The gasoline pump is more economical by $200 annually
  5. The costs vary each year, making one more economical than the other in different years
  6. The gasoline pump is more economical
  7. The gasoline pump has a better salvage value, making it more economical
  8. The costs cannot be compared
  9. The electric pump is more economical
  10. The electric pump is more economical by $500 annually

src

stemez-Business

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Source and history

upstream_id / Original problem ID
237
task_id
1527a312-d91b-5d50-8306-d535527ede52
task_key
default--test--237
task_revision_id
3
config / split
default / test

Official source

initial import