Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

suneja

  • 2 years ago

P= a - bN {(p-t)/wc}^1/1-z wer z>1 differentiate tis expression wrt ' t'

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

    too many variables there :)

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

    dat the prob!! can u solve tis its profit maximizing level of output inclusive of tax...had to be weird..

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

    |dw:1356073901037:dw|

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

    \[P=a-bN (\frac{ p-t }{ wc })^{(\frac{ 1 }{ 1-z })}\] differentiate with respect to t when z>1 right? I think we can do this.

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

    @Kainui plz do

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

    It seems confusing but try to take it one bit at a time. Remember that all of these are essentially constants like the number 5, 23, or whatever. Give it your best shot and show me what you get.

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

    You should try splitting up the fraction within so that it's more easy to look at. I suggest trying to isolate "t" because everything else is just a constant and will lead to confusion.

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

    i've tried n ... m getting tha same crap .. can u show me ur steps plz!!

  9. shubhamsrg
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i have never knows about taxes much,,just confirming.. we have to find DP/dt right ? given t is the only variable and all others are constants ?

  10. shubhamsrg
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    known*

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

    @shubhamsrg dats rite u dont need to knw abt taxes or nething its jst a typical expression!

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

    Alright I'll write out some steps because this is particularly confusing, give me a moment to make it clear in my description.

  13. shubhamsrg
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i see.. then check this please : |dw:1356074934050:dw|

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

    dats exactly wat m getting but the soln given has a numerator and denomenator

  15. shubhamsrg
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    whats the solution ?

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

    \[P=a-bN( \frac{ p-t }{ wc })^{\frac{ 1 }{ 1-z }}\] Now since everything else is constant, separate out the t into its own term to make it clear what we're differentiating: \[P=a-bN( \frac{ p }{ wc }-\frac{ t }{ wc })^{\frac{ 1 }{ 1-z }}\] Now from here you can take the derivative more simply by using the chain rule. You'll see that a goes to 0, since the derivative of any constant is 0. We're doing this with respect to t. Now if you use the chain rule on the second part, let's consider a simpler looking expression: \[5(3-2t^2)^7\] this looks exactly like the second part of the problem, yes? When we use the chain rule we take the derivative of the outside and multiply it by the derivative of the inside like this: \[35(3-2t^2)^6* (-4t)\] You must do the same thing here.

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

    That looks like what I got too, I even simplified it down to the same exact thing as you.

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

    hey m sorry but there is minor change in ques... instead of w its z m sorry guy n lemme post dat ans for

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

    Not much will change, suneja since both are constants.

  20. shubhamsrg
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep..exactly!

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

    Don't get caught up in looking at them as letters. Do the exact same thing you would do as if they were just any other constant number.

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

    |dw:1356075429814:dw|

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

    @shubhamsrg @Kainui this is the ans .... i got the same ans as u guys now can u guys show me how did they get tis one and mind u its NOT WRONG ANS as its has economic interpretation attached

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

    Hmm well what's the economic interpretation? I suppose the only difference is just some algebraic manipulation?

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

    here denum is = 1+numerator so dp/dt <1

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

    So wait, you have to get it in the same form as this? I'm not sure I understand what you want here.

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

    @Kainui jst dP/dt dat et

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

    I think you got it.

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

    guys thanks for ur tym n effort... but i guess i'l hav to figure it out maslf!!

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

    Good luck!

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.