For the following simplex tableau $($a$)$ Compute the next pivot element. $($b$)$ Determine the next tableau. $($c$)$ Determine the particular solution corresponding to the tableau of part$($b$).$

x

y

u

v

M

$6$

$2$

$1$

$0$

$0$

$10$

$1$

$3$

$0$

$1$

$0$

$6$

minus$9$

minus$27$

$0$

$0$

$1$

$0$

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Part $1$

$($a$)$ The pivot element is

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$3.$

Part $2$

$($b$)$ Find the next tableau.

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