Calculus

posted by .

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for $20 each, but the price is dropping at a rate of $1 per week. I need to know at what rate OHaganBooks' revenue is rising or falling given these conditions. I would also like to see the company's revenue increase at a rate of $5000 per week. At what rate would sales have to have been increasing to accomplish this?

Can somebody help me answer this and explain the steps to solve the problem?
Please help me this project is due tomorrow morning!!

  • Calculus -

    We tried to help you with this several days ago. What did you not understand?

  • Calculus -

    Michael I have a question for you about the simplifying and taking a derivative

  • Calculus -

    i am a different person and i still do not understand it
    i get R'=3000-400X
    but i don't understand wat to do with the 5000

  • Calculus -

    Ben - I just answered you on your original post "Calc."

    "PLEASE HELP!" - Your equation is not correct.

    What is the basic formula for calculating revenue? Think about how a bookstore gets money if all its books are priced equally.

  • Calculus -

    R=p*q

  • Calculus -

    Right. Now how do you implicitly differentiate that?

    Follow the product and chains rules.

  • Calculus -

    Follow the product and chain rules.**

  • Calculus -

    R'=p'(q)+p(q')

  • Calculus -

    All you have to do is read the problem and identify p', q, p, and q'. Plug them in to get your change in rate of revenue (R').

  • Calculus -

    ok i got
    p=20
    p'=-1
    q=1000
    q'=200
    and when i plugged them in i got r'=3000
    is that right?

  • Calculus -

    Yes, don't forget your dollar sign and labeling. (What does the $3000 mean?)

    For the second part, plug in R' = 5000 and fill in all your other variables except q'. Then, solve for q'.

  • Calculus -

    Ok $3000 is the rate at that the revenue is rising.
    Ok for the second answer i plugged it in and i got
    30=q'

  • Calculus -

    The company's revenue increases at a rate of $3000 per week. (You need the unit of time.)

    Check your algebra for the second part.

  • Calculus -

    ok i redid it
    so q'=300?

  • Calculus -

    Your number is right, but don't forget your labeling.

  • Calculus -

    Good work Michael, thanks.

  • Calculus -

    So sales must increase at a rate of 300 books per week.
    Thank U So much!
    im gonna work on the second half of the problem now.

  • Calculus -

    That's correct. Good job!

    (Thanks, bobpursley.)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    John has 36 books in his locker. He has text books,library books, and telephone books. How many books of each kind does he have if: lib + tel= 2x text books and text + tel = 3x lib books I think it'd be easier to let T,L and B denote …
  2. Calculus

    At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for $20 each, but the price is dropping at a rate of $1 per week. I need to know …
  3. Calculus

    At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for $20 each, but the price is dropping at a rate of $1 per week. I need to know …
  4. math

    If Martha read one book a week for the first week and double the number of books each week for the next 5 weeks. She would have read 32 books the sixth week. Am I correct
  5. MATHS

    Mrs.Koh purchased new books for the school library, of which 6 were Mathematics books, 7 were Science books, 10 were Music books, 3 were Art books, and 4 were social studies books. All of these books were different. She picked a book …
  6. Calculus

    ohaganbooks is offering a wide range of online books, including current best-sellers. a colleague has determined that the demand for the latest best selling book is given by q=(-p^2)+33p+9 (18<p<28) copies sold per week when …
  7. Manegerial accounting

    calculate the net operating income , evergreen corp has provided the following data: sales per period 1000 units ,selling price $ 40 per unit , variable manufacturing cost 12 per unit, selling expenses $5,100 pls 5% of selling price …
  8. math

    The cost price of 8 books is equal to the selling price of 6 books. Find the gain or loss per cent. Ashis purchases eggs at the rate of Rs 90 for 150 eggs and sells them at Rs 85 per hundred. Find his gain or loss per cent. Pls pls …
  9. MATH PLEASE

    Lansing Bookery regularly marks up books 40% of the selling price. The bookstore's cost on a new best-selling book is $12.95 per book. What is the selling price of this book?
  10. math

    A puzzle expert wrote two new sudoku puzzles. He made $950 selling the books. The hardcover books were $3 while the softcover books were $2.50. If he sold 350 books, how many of each did he sell?

More Similar Questions