Results 1 to 3 of 3

Math Help - Linear Optimisation

  1. #1
    Newbie
    Joined
    Oct 2007
    From
    London
    Posts
    2

    Linear Optimisation

    maximise Z=2X+3Y
    such that
    X+Y<=10
    2X+Y<=6
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Get the intersection of the two inequalities,

    x +y = 10 --------------(1)
    2x +y = 6 --------------(2)

    (2) minus (1),
    x = -4
    So, using (1),
    y = 10 -x = 10 -(-4) = 14

    Therefore, to maximize z, x must be -4 and y must be 14. ---------answer.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2007
    From
    London
    Posts
    2
    Many thanks for ur help.
    i will continue using this maths Forum.
    i've only just found out bout it.
    thanks again
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear optimisation
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: November 28th 2010, 08:38 PM
  2. optimisation problem
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: September 10th 2010, 05:19 AM
  3. Optimisation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 4th 2008, 03:23 PM
  4. Optimisation!
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 13th 2008, 11:51 PM
  5. Optimisation QUS, need help plz
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 9th 2007, 06:12 AM

Search Tags


/mathhelpforum @mathhelpforum