Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Maximizing problem with an inequality constraint.

  1. Dec 10, 2012 #1
    Hello I have a worked example where I have to maximize a function with an inequality constraint. The problem is worked out below.

    https://zgqqmw.sn2.livefilestore.com/y1pLc13HVWpA9dATZEzikySeSMBN2hn1mJCw71rJ5vvUJcr9W7KBPFkOz7HQEppa6EPbLi5yyAwDagh3ezF_7eyVL6tBK7q6ise/maxProbem.png?psid=1 [Broken]

    I know how to get the kuhn-tucker conditions in the first step. I also understand how the first two possibilities (i) and (ii) are ruled out. In the third one the value of [itex]\lambda[/itex] is 2. But how did the problem work out the value of and x2 to be 10?

    Thanks.
     

    Attached Files:

    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Dec 11, 2012 #2
    In case (iii), x_1=0. Why not just go back to the original conditions, you are trying to maximize y=2*x_2 subject to the constraint x_2<=10, so clearly we have a max when x_2=10, thus y=20.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Maximizing problem with an inequality constraint.
  1. Inequation problem (Replies: 6)

  2. An inequality (Replies: 4)

Loading...