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    redorang120's Avatar
    redorang120 Posts: 1, Reputation: 1
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    #1

    Feb 4, 2007, 07:40 PM
    Two Variable Linear Programming Equations
    What type of information are you given in a two-variable linear programming problem, and what are you trying to do?
    AND
    In as general terms as possible, what do you do to solve a linear programming problem in two variables?

    thanks!
    Fianchetto's Avatar
    Fianchetto Posts: 70, Reputation: 2
    Junior Member
     
    #2

    Feb 5, 2007, 03:40 AM
    Quote Originally Posted by redorang120
    What type of information are you given in a two-variable linear programming problem, and what are you trying to do?
    AND
    In as general terms as possible, what do you do to solve a linear programming problem in two variables?

    thanks!
    I. Given enough info to derive the equation:



    AND

    II. "Solutions", in math, are where the function crosses the x-axis, or, in other words, wherever:



    or:



    In linear equations there will either be one or infinity number of "zeroes" or "solutions". I'll let you chew on the infinity part, but will answer a question if you ask. ;)

    Hope this helps!
    Fianchetto's Avatar
    Fianchetto Posts: 70, Reputation: 2
    Junior Member
     
    #3

    Feb 6, 2007, 07:15 PM
    In linear equations there will either be one or infinity number of "zeroes" or "solutions". I'll let you chew on the infinity part, but will answer a question if you ask.

    another case exists - no "solutions" at all

    to graph the equation:

    1: let x=0. this is the y-intercept. Plot it.

    2: let y=0 this is the x-intercept. Plot it.

    3: connect the dots.

    :)

    an alternate method for solving 2- and 3-variable systems of equations is to apply cramer's rule. See http://library.thinkquest.org/10030/10cramer.htm

    :D

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