A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

explicitvogue

  • one year ago

Fan + Medal to best answer! Find the values of x and y that maximize the objective function P=3x+y for the graph. What is the maximum value? A. (0,6) B. (1,4) C. (3,0) D. (0,0) (Graph attached in replies)

  • This Question is Closed
  1. explicitvogue
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

  2. ybarrap
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Here is a similar problem I solved about a year ago - http://openstudy.com/study#/updates/526d6f5ee4b0116e636910d2 Let me know if you need more help

  3. ybarrap
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Another approach is to use the method of Lagrange Multipliers -- do you know that?

  4. ybarrap
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Basically, the easiest approach is to just plug in each of those coordinates into P and see which makes it the largest. For example, the using the first coordinate $$ P(0,6)=3\times 0 + 6=6 $$ Now you do P(1,4). What does that equal?

  5. explicitvogue
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    P(1,4)=3*1+4= 7?

  6. ybarrap
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, keep going like that - now find P(3,0)

  7. explicitvogue
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    P=3*3+0=9 So the answer would be C?

  8. ybarrap
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, because that made P the largest!

  9. explicitvogue
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I have never actually understood how to solve those problems, but the way you explained it seems so much easier than the way I learned it. Thank you so much!

  10. ybarrap
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The problem you have is if you did not have choices, you'll need to check the each point in the choices are in the domain given. For example, is (3,0) in the triangle you provided? It is, so this is a valid solution. How were you taught to maximize a function? Is this a calculus course?

  11. explicitvogue
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, okay that makes sense. And I'm not exactly sure how to explain the way I learned it, but it seemed much more difficult. This is from an AP Algebra 2 course.

  12. 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.