benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 6923 / The production of a unit of good Y requires the employment of 3 workers and 7…

Problem

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

question

The production of a unit of good Y requires the employment of 3 workers and 7 units of capital. The going wage is 4.Therentonaunitofcapitalis4. The rent on a unit of capital is 1. What should be the marginal physical product of capital in order for the production to be carried out at the least cost and what is this cost if the marginal physical product of labor is $2?
Plain-text mathematical notation (without MathML)
The production of a unit of good Y requires the employment of 3 workers and 7 units of capital. The going wage is 4.Therentonaunitofcapitalis1. What should be the marginal physical product of capital in order for the production to be carried out at the least cost and what is this cost if the marginal physical product of labor is $2?
Original LaTeX notation
The production of a unit of good Y requires the employment of 3 workers and 7 units of capital. The going wage is $4. The rent on a unit of capital is $1. What should be the marginal physical product of capital in order for the production to be carried out at the least cost and what is this cost if the marginal physical product of labor is $2?

category

economics

options

  1. MPPK = 0.25, total cost = $18
  2. MPPK = 0.5, total cost = $19
  3. MPPK = 1.5, total cost = $25
  4. MPPK = 0.3, total cost = $17
  5. MPPK = 0.9, total cost = $26
  6. MPPK = 1, total cost = $21
  7. MPPK = 0.4, total cost = $23
  8. MPPK = 0.75, total cost = $22
  9. MPPK = 0.8, total cost = $24
  10. MPPK = 0.6, total cost = $20

src

stemez-Economics

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
6923
task_id
acd87de6-3760-5860-b90a-499db2ca04ae
task_key
default--test--6923
task_revision_id
1
config / split
default / test

Official source

initial import