1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Maximizing area

  1. Oct 15, 2008 #1
    1. The problem statement, all variables and given/known data
    A rectangle has sides on the x and y axes and a corner on the plane x+3y=12. Find its maximum area.


    2. Relevant equations

    A=xy=(12-3y)y

    (A=12, according to the solution manual.)

    3. The attempt at a solution

    At first I thought the corner it was talking about lay on one of the axes, but now I realize that it is a point around (4,3). I know there is a derivative (partial?) I need to take, but I don't know which one and or what to do it with respect to. I've drawn a graph so I can see what I'm doing, but the professor just skimmed over maximixation and I'm really confused! This chapter is not at a point that Lagrange multipliers have been covered. That's the way I would expect to do it, obviously not.
     
  2. jcsd
  3. Oct 15, 2008 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Ok, if you want to maximize set dA/dy=0. What's y?
     
  4. Oct 16, 2008 #3
    dA/dy=12-6y. y=2, and then (12-3(2))*2=12 and that's the area. I knew it couldn't be that hard. thanks!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Maximizing area
  1. Maximizing Area (Replies: 2)

  2. Maximizing the area (Replies: 2)

  3. Maximize the area (Replies: 3)

  4. Maximize area (Replies: 23)

  5. Maximize Area (Replies: 8)

Loading...