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MMLU-Pro / 770 / As scotch whiskey ages, its value increases. One dollar of scotch at year 0 is…

Problem

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

question

As scotch whiskey ages, its value increases. One dollar of scotch at year 0 is worth V(t)=exp2t−0.15tV(t) = exp{2\sqrt{t} - 0.15t} dollars at time t. If the interest rate is 5 percent, after how many years should a person sell scotch in order to maximize the PDV of this sale?
Plain-text mathematical notation (without MathML)
As scotch whiskey ages, its value increases. One dollar of scotch at year 0 is worth V(t)=exp2√(t)−0.15t dollars at time t. If the interest rate is 5 percent, after how many years should a person sell scotch in order to maximize the PDV of this sale?
Original LaTeX notation
As scotch whiskey ages, its value increases. One dollar of scotch at year 0 is worth $V(t) = exp{2\sqrt{t} - 0.15t}$ dollars at time t. If the interest rate is 5 percent, after how many years should a person sell scotch in order to maximize the PDV of this sale?

category

business

options

  1. 25
  2. 30
  3. 50 years
  4. 40 years
  5. 22 years
  6. 10 years
  7. 15 years
  8. 20
  9. 35
  10. 18 years

src

theoremQA-Finance

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Source and history

upstream_id / Original problem ID
770
task_id
ba924ffd-c4f8-51da-b8be-071f66ec5280
task_key
default--test--770
task_revision_id
1
config / split
default / test

Official source

initial import