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Math Help - Complex Problem with Linear Constraints & Gauss-Jordan

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    Question Complex Problem with Linear Constraints & Gauss-Jordan

    Suppose you're looking to buy 20 of A, 30 of B, 35 of C

    Pack 1 (x1) comes with 4A, 8B, & 8C
    Pack 2 (x2) comes with 5A, 4B, & 10C

    Assumptions: Fractions of packs are allowed

    Question 1: Assuming you're looking to buy exactly 20A, 30B, and 35C, is there any way of doing this using a combination of pack 1 and pack 2 orders? Show results using the Gauss-Jordan method

    I did the following (assume the comma means a break between each row): [ 4 5, 8 4, 8 10] * [x1, x2] = [20, 30, 35]

    And ended up with [1 5/4, 0 -6, 0 0] * [x1, x2] = [5, -10, -5]

    Which is supposed to mean there's no solution. Not sure if i did this right or not.


    Question 2: Now assume you have to order at least 20A, 30B, and 35C. Model the problem as a system of 3 equations with 5 variables, pack 1 (x1), pack 2 (x2), remainder of A, remainder of B, remainder of C

    No idea how to do this or solve for this with the Gauss Jordan method

    Please help
    Last edited by ThaSkywalker; July 28th 2012 at 01:14 PM. Reason: Clarification
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