benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--652▌ posts · files
MMLU-Pro / 652 / A plastics company has determined that the cost of waste is fixed at …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A plastics company has determined that the cost of waste is fixed at 4 (p - 20)^2 where p is the modules in excess of 20 produced. (i) What is the total waste cost in producing 45 modules? (ii) What number minimizes waste cost?
Plain-text mathematical notation (without MathML)
A plastics company has determined that the cost of waste is fixed at 12forupto20modules.Afterthis,thewastecostincreasesaccordingtothefunction4 (p - 20)^2 where p is the modules in excess of 20 produced. (i) What is the total waste cost in producing 45 modules? (ii) What number minimizes waste cost?
Original LaTeX notation
A plastics company has determined that the cost of waste is fixed at $12 for up to 20 modules. After this, the waste cost increases according to the function $4 (p - 20)^2 where p is the modules in excess of 20 produced. (i) What is the total waste cost in producing 45 modules? (ii) What number minimizes waste cost?
category
business
options
- $2,510 and 21 modules
- $2,488 and 24 modules
- $2,516 and 25 modules
- $2,532 and 26 modules
- $2,512 and 20 modules
- $2,000 and 19 modules
- $2,515 and 18 modules
- $3,012 and 23 modules
- $2,500 and 22 modules
- $2,524 and 17 modules
src
stemez-Business
Discussion
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Source and history
- upstream_id / Original problem ID
- 652
- task_id
4bdfb891-b90a-5b62-a314-89ea91c6a6ee- task_key
default--test--652- task_revision_id
- 1
- config / split
- default / test
initial import