(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**