calculus

posted by .

The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 350 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 7 dollar increase in rent. Similarly, one additional unit will be occupied for each 7 dollar decrease in rent. What rent should the manager charge to maximize revenue?

  • calculus -

    I'll start you off ....

    let the number of $7 increases be n
    then number rented = 100 - n
    rent charged = 350 + 7n

    Revenue = (100-n)(350+7n)

    expand, take the derivative, set that equal to zero and solve for n.

  • calculus -

    bah

  • calculus -

    25

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 370 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 5 dollar …
  2. Calculus Optimization

    The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 500 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 10 dollar …
  3. Calculus

    The manager of a large apartment complex knows from experience that 80 units will be occupied if the rent is 472 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 4 dollar …
  4. Calculus

    The manager of a large apartment complex knows from experience that 80 units will be occupied if the rent is 460 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 10 dollar …
  5. Calculus

    The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 360 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 9 dollar …
  6. Calc Help Please

    The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 416 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 8 dollar …
  7. Calculus-Applied Optimization Problem

    The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 425 dollars per month. A market survey suggests that, on average, one additional unit will remain vacant for each 9 dollar …
  8. Calculus: Help Me

    The manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 294 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 7 dollar …
  9. Calculus

    The manager of a large apartment complex knows from experience that 80 units will be occupied if the rent is 460 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 10 dollar …
  10. Math 115

    The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 444 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 6 dollar …

More Similar Questions