A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

The amount A(t) of a certain item produced in a factory is given by A(t) = 4000 + 48(t-3) - 4(t-3)^3 where t is the number of hours of production since the beginning of the workday at 8:00 am. At what time is the rate of production increasing most rapidly?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    dude wt is tht

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ummmmmmmmmmmmm

  3. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    i forgot is production=cost-revnue or something liek that?

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh well wats tht 2 tht yhu said dude

  5. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    of wait im retard just forget about what I said i think i was thinking or profit lol

  6. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    besides we are given the production function so taking the derivative will give us the rate of production

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    set A''(t) = 0 That will get you the highest production rate. -24t+72 = 0 t=3 8AM + 3Hours = 11AM

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So the double derivative gives the highest production rate?

  9. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    no to find max and min you find the first derivative

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    first derivative is the rate of production, second derivative is the (rate of rate) of production, If you want to find the Maximum production you set first derivative =0 If you want to find the Maximum RATE of production you set second derivative =0

  11. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes elouis is right second rate of rate

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ahh thanks for clarifying that! I missed something like that on a practice AP test! >.<

  13. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    i gave you a medal elouis lol

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    haha Thank you! i to you too.

  15. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.