(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[PLAIN]http://img193.imageshack.us/img193/3662/unledmcg.png [Broken]

3. The attempt at a solution

I rewrote the whole thing indictionary

[tex]x_3 = 15 - 8x_1 - 4x_2[/tex]

[tex]x_4 = 7 - 2x_1 - 6x_2[/tex]

[tex]z = 0 + 22x_1 - 12x_2[/tex]

[tex]x_i \geq 0 [/tex]

[tex]1\leq i \leq 4[/tex]

a) So my basis/bases is x = (x_3,x_4)

b) Do I have to solve the above using the Simplex Algorithm first?

c) I have to set x_1 or x_2 = 0 and the other one not 0.

So doing so I get (I chose x_1 and let x_2 = t)

[tex]x_3 = 15 - 4x_2[/tex]

[tex]x_4 = 7 - 6x_2[/tex]

[tex]z = -12x_2[/tex]

So I get a line of

x = (0,t|15-t,7-6t)^t

So my answer is a line with [tex]t \in (-\infty, \frac{7}{6})[/tex]

I have infinity in my interval...something does not feel right

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# Is bases the same as basis ? (Simplex Algorithm)

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