#[Convert the following LP problem to equation form (use $s$, $t$, $u$, $v$, $w, \ldots$ as slack and surplus variables in that order)][Convierte el siguiente problema PL en la forma ecuación (utiliza $s, t, u, v, w, \ldots$ como las variables de holgura y de exceso en ese orden))]#:
#[Maximize][Maximizar]# $p = %0$ #[subject to][sujeta a]#
$\qquad %1$
$\qquad %2$
$\qquad %3$
$\qquad x \geq 0,\, y \geq 0,\, z \geq 0$
#[The current values of the variables are:][Los valores corrientes de las variables son:]#
| $x = {}$ | BOX | $y = {}$ | BOX | $z = {}$ | BOX |
| $s = {}$ | BOX | $t = {}$ | BOX | $u = {}$ | BOX |
| $p = {}$ | BOX |
#[The current values of the variables are:][Los valores corrientes de las variables son:]#
| $x = {}$ | BOX | $y = {}$ | BOX | $z = {}$ | BOX |
| $s = {}$ | BOX | $t = {}$ | BOX | $u = {}$ | BOX |
| $p = {}$ | BOX |
#[The current values of the variables are:][Los valores corrientes de las variables son:]#
| $x = {}$ | BOX | $y = {}$ | BOX | $z = {}$ | BOX |
| $s = {}$ | BOX | $t = {}$ | BOX | $u = {}$ | BOX |
| $p = {}$ | BOX |
#[If you got this right, you will notice that there are no starred rows and no negative numbers in the bottom row. This means that we are done, and the current tableau is the final tableau. The solution of the LP problem is the current basic solution.][Si lo hiciste bien, te darás cuenta de que no hay filas destacadas y no quedan números negativos en el último renglón. Esto significa que hemos terminado, y la tabla corriente es la tabla final. La solución del problema PL es la solución corriente.]# #[The optimal values of the variables are:][Los valores optimales de las variables son:]#
| $x = {}$ | BOX | $y = {}$ | BOX | $z = {}$ | BOX |
| $s = {}$ | BOX | $t = {}$ | BOX | $u = {}$ | BOX |
| $p = {}$ | BOX |