benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 665 / A drama guild is renovating an old theater, hoping to use it for 15 years. The…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A drama guild is renovating an old theater, hoping to use it for 15 years. The guild can follow one of two plans to finance the work: Plan A is to use 5,000collectedfromguildmemberstopayforarenovationjobwhichwouldbedoneimmediatelyandwouldlast15years.PlanBistoborrow5,000 collected from guild members to pay for a renovation job which would be done immediately and would last 15 years. Plan B is to borrow 2,000 the year before the theater opens, and then in the 5th and 10th years of the theater's life to renovate it; each job will last five years. Interest is 6% for both plans. (a) Which plan should the guild follow? (b) If, in Plan B, the 2nd and 3rd renovation jobs will cost $3,000 each and the guild will not be able to borrow the money for any of the three jobs (i.e., the members will have to contribute), which plan should the guild follow?
Plain-text mathematical notation (without MathML)
A drama guild is renovating an old theater, hoping to use it for 15 years. The guild can follow one of two plans to finance the work: Plan A is to use 5,000collectedfromguildmemberstopayforarenovationjobwhichwouldbedoneimmediatelyandwouldlast15years.PlanBistoborrow2,000 the year before the theater opens, and then in the 5th and 10th years of the theater's life to renovate it; each job will last five years. Interest is 6% for both plans. (a) Which plan should the guild follow? (b) If, in Plan B, the 2nd and 3rd renovation jobs will cost $3,000 each and the guild will not be able to borrow the money for any of the three jobs (i.e., the members will have to contribute), which plan should the guild follow?
Original LaTeX notation
A drama guild is renovating an old theater, hoping to use it for 15 years. The guild can follow one of two plans to finance the work: Plan A is to use $5,000 collected from guild members to pay for a renovation job which would be done immediately and would last 15 years. Plan B is to borrow $2,000 the year before the theater opens, and then in the 5th and 10th years of the theater's life to renovate it; each job will last five years. Interest is 6% for both plans. (a) Which plan should the guild follow? (b) If, in Plan B, the 2nd and 3rd renovation jobs will cost $3,000 each and the guild will not be able to borrow the money for any of the three jobs (i.e., the members will have to contribute), which plan should the guild follow?

category

business

options

  1. Plan A, with the $5,000 invested first to grow at 6% interest before renovating
  2. Plan B, with renovations every 7 years and borrowing at a lower interest rate
  3. Plan A
  4. Plan B, with the guild members contributing an additional $1,000 upfront for future renovations
  5. Plan A, but with an additional loan taken out in the 10th year
  6. Plan A, with a smaller renovation every 5 years using money from fundraising events
  7. Plan B
  8. Both plans
  9. Plan B, with additional renovations every 3 years financed by ticket sales
  10. Neither plans

src

stemez-Business

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
665
task_id
bb257c7b-7df4-5a28-83fa-6b714775b9ef
task_key
default--test--665
task_revision_id
1
config / split
default / test

Official source

initial import