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**Mentor note: Fixed the LaTeX**

1. The problem statement, all variables and given/known data

1. The problem statement, all variables and given/known data

Maximize ##5x_1 + 7x_2 + 3x_3## subject to ##x_1 + x_2 + x_3 \le 28, x_2 \le2 x_1## and ##x_1 \le x_3##.

**2. Relevant Equations**

##x_1\ge 0, x_2\ge 0, x_3\ge 0##.

**3. The attempt at a solution**Problem is workable by graphic methods, but the writer has been unable to

successfully apply the standard-max simplex algorithm. My interest is in finding a workable simplex solution

*and/or*in determining why standard-max simplex won't work here. Thanks for the attention of all posters and site professionals!

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