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MMLU-Pro / 424 / The price of a product p is …

Problem

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question

The price of a product p is $50. The cost per unit is C(x) = 1000 + 0.01x^2, where x is the number of units produced and C(x) is in dollars, (a) What is the profit function? (b) At what value of x is profit maximized?

category

business

options

  1. P(x) = -0.01x^2 + 30x - 1000, x = 1500
  2. P(x) = -0.01x^2 + 100x - 2000, x = 5000
  3. P(x)= - 0.01x^2 + 50x - 1000, x = 2500
  4. P(x)= - 0.02x^2 + 50x - 1000, x = 1500
  5. P(x)= 0.01x^2 + 50x - 1000, x = 2000
  6. P(x) = -0.015x^2 + 75x - 1500, x = 3500
  7. P(x) = -0.03x^2 + 50x - 3000, x = 1000
  8. P(x) = -0.005x^2 + 50x - 500, x = 1000
  9. P(x)= - 0.01x^2 + 50x + 1000, x = 3000
  10. P(x) = -0.02x^2 + 50x - 2000, x = 1250

src

stemez-Business

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Source and history

upstream_id / Original problem ID
424
task_id
9860ae29-ef1d-5cd5-a12d-3e4a933e9fb1
task_key
default--test--424
task_revision_id
1
config / split
default / test

Official source

initial import