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MMLU-Pro / 606 / A single train set costs …

Problem

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

question

A single train set costs $10 to produce no matter how many such sets are made. The demand function is p = 90 - 0.02x, where x is the number of sets sold and p the price paid by retailers. (a) What is the profit function and the amount of units that should be made to maximize the profit? (b) What price do retailers pay for the train set?

category

business

options

  1. 3000 sets, $100,000, $30
  2. 2200 sets, $85,000, $46
  3. 1200 sets, $65,000, $66
  4. 1600 sets, $70,000, $58
  5. 2500 sets, $90,000, $40
  6. 1800 sets, $75,000, $54
  7. 1500 sets, $70,000, $60
  8. 2000 sets, $80,000, $50
  9. 1000 sets, $60,000, $70
  10. 3500 sets, $110,000, $20

src

stemez-Business

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Source and history

upstream_id / Original problem ID
606
task_id
5a3f33aa-8efd-5a43-bf2b-2c7fbb281144
task_key
default--test--606
task_revision_id
1
config / split
default / test

Official source

initial import