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Math Help - How to solve a linear programming question with "mixing

  1. #1
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    How to solve a linear programming question with "mixing

    Hello.


    I would like my fellow peers and forum members to see if I did the question properly.

    (I really don't want members to just give away because that's cheap. Just tell me if I'm right on track to getting the correct answer)

    A person wants to mix 2 colors to get mixture#1, and mixture#2. The person has 56 pieces of pink color and 93 pieces of green color. Each liter of mixture#1 requires 6 pieces of pink color and 5 pieces of green color. Each liter of mixture#2 requires 3 pieces of pink color and 12 pieces of red color.

    ------------------------------
    My strategy:

    Let x represent pink color
    Let y represent red color


    -------------------------------
    Constraints:

    x is less than or equal to 56.
    y is less than or equal to 93
    mixture #1=6x + 5y is less than or equal to 1
    mixture #2=3x + 12y is less than or equal to 1
    -----------------------------

    Objective Function:

    Liters that can be mixed = (6x+5y) + (3x + 12y)


    Graph accordingly. (graphing is easy in my opinion. Nothing to worry about)







    ~~~~~~~~~~~~~~~~~~~~~~

    Is my answer correct? A simple yes or no question.

    If it is wrong, I'll post and re-post different answers by tackling the problem differently until I get the correct answer. :P


    Thanks guys!!
    Last edited by CaptainBlack; November 27th 2011 at 10:09 PM. Reason: Restore deleted post
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