benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 832 / Clare manages a piano store. Her utility function is given by Utility = w - 100,…

Problem

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

question

Clare manages a piano store. Her utility function is given by Utility = w - 100, where w is the total of all monetary payments to her and 100 represents the monetary equivalent of the disutility of exerting effort to run the store. Her next best alternative to managing the store gives her zero utility. The store's revenue depends on random factors, with an equal chance of being 1,000or1,000 or 400. If shareholders offered to share half of the store's revenue with her, what would her expected utility be?
Plain-text mathematical notation (without MathML)
Clare manages a piano store. Her utility function is given by Utility = w - 100, where w is the total of all monetary payments to her and 100 represents the monetary equivalent of the disutility of exerting effort to run the store. Her next best alternative to managing the store gives her zero utility. The store's revenue depends on random factors, with an equal chance of being 1,000or400. If shareholders offered to share half of the store's revenue with her, what would her expected utility be?
Original LaTeX notation
Clare manages a piano store. Her utility function is given by Utility = w - 100, where w is the total of all monetary payments to her and 100 represents the monetary equivalent of the disutility of exerting effort to run the store. Her next best alternative to managing the store gives her zero utility. The store's revenue depends on random factors, with an equal chance of being $1,000 or $400. If shareholders offered to share half of the store's revenue with her, what would her expected utility be?

category

business

options

  1. 300
  2. 225
  3. 100
  4. 450
  5. 350
  6. 250
  7. 150
  8. 200
  9. 500
  10. 400

src

theoremQA-Finance

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
832
task_id
be69dc2e-b53c-5a1c-bd64-790a23af69c6
task_key
default--test--832
task_revision_id
1
config / split
default / test

Official source

initial import