The Rational Use Of Resources Provided Two Products Output, Part 2

Table 2: Simplex table of Jordan-Gauss’s double step transformations

1	${- y}_{2}$ , $u_{2}$	${- y}_{3}$ , $u_{3}$	1, W
$y_{1}$ , $u_{1}$	$- \frac{\|\begin{matrix} a_{11} & a_{12} \\ a_{31} & a_{32} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$- \frac{\|\begin{matrix} a_{21} & a_{22} \\ a_{11} & a_{12} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} a_{21} & a_{22} & b_{2} \\ a_{31} & a_{32} & b_{3} \\ a_{11} & a_{12} & b_{1} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$
$x_{1}$ , $v_{1}$	$\frac{a_{32}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$- \frac{a_{22}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} b_{2} & a_{22} \\ b_{3} & a_{32} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$
$x_{2}$ , $v_{2}$	$- \frac{a_{31}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{a_{21}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} a_{21} & b_{2} \\ a_{31} & b_{3} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$
Z, 1	$\frac{\|\begin{matrix} c_{1} & c_{2} \\ a_{31} & a_{32} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} a_{21} & a_{22} \\ c_{1} & c_{2} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$- \frac{\|\begin{matrix} a_{21} & a_{22} & b_{2} \\ a_{31} & a_{32} & b_{3} \\ c_{1} & c_{2} & 0 \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$

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1	${- y}_{2}$ , $u_{2}$	${- y}_{3}$ , $u_{3}$	1, W
$y_{1}$ , $u_{1}$	$- \frac{\|\begin{matrix} a_{11} & a_{12} \\ a_{31} & a_{32} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$- \frac{\|\begin{matrix} a_{21} & a_{22} \\ a_{11} & a_{12} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} a_{21} & a_{22} & b_{2} \\ a_{31} & a_{32} & b_{3} \\ a_{11} & a_{12} & b_{1} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$
$x_{1}$ , $v_{1}$	$\frac{a_{32}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$- \frac{a_{22}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} b_{2} & a_{22} \\ b_{3} & a_{32} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$
$x_{2}$ , $v_{2}$	$- \frac{a_{31}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{a_{21}}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} a_{21} & b_{2} \\ a_{31} & b_{3} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$
Z, 1	$\frac{\|\begin{matrix} c_{1} & c_{2} \\ a_{31} & a_{32} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$\frac{\|\begin{matrix} a_{21} & a_{22} \\ c_{1} & c_{2} \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$	$- \frac{\|\begin{matrix} a_{21} & a_{22} & b_{2} \\ a_{31} & a_{32} & b_{3} \\ c_{1} & c_{2} & 0 \end{matrix}\|}{\|\begin{matrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{matrix}\|}$

The Rational Use Of Resources Provided Two Products Output, Part 2

Table 2: Simplex table of Jordan-Gauss’s double step transformations

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