A factory makes a product that has a manufacturing process consisting of tasks A$,...,$ J that must be completed in an order that obeys a set of precedence requirements. The following table reports the performance time in minutes$/$unit and the preceding task$($s$)$ for tasks A$,...,$ J$.$

The precedence network is:

The line will operate for $480$ minutes per shift. The desired shift output is at least $22$ units.

The configuration Station $1($ABC$)$; Station $2($DEF$)$; Station $3($GH$)$; Station $4($IJ$)$ Select one:$$ Meets the desired output$$ Does not meet the desired output$$ Violates a precedence requirement$$

The configuration Station $1($ABF$)$; Station $2($CD$)$; Station $3($EGH$)$; Station $4($IJ$)$ Select one:$$ Meets the desired output$$ Does not meet the desired output$$ Violates a precedence requirement$$

The configuration Station $1($AFG$)$; Station $2($HIJ$)$; Station $3($BC$)$; Station $4($DE$)$ Select one:$$ Meets the desired output$$ Does not meet the desired output$$ Violates a precedence requirement $\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline Task & Performance Time & Preceding Tasks $\backslash \backslash$

$\backslash$hline $\backslash$hline A & $6$ & NA $\backslash \backslash$

$\backslash$hline $\backslash$hline B & $6$ & A $\backslash \backslash$

$\backslash$hline $\backslash$hline C & $9$ & B $\backslash \backslash$

$\backslash$hline $\backslash$hline D & $3$ & B $\backslash \backslash$

$\backslash$hline $\backslash$hline E & $4$ & C$,$ D $\backslash \backslash$

$\backslash$hline $\backslash$hline F & $13$ & A $\backslash \backslash$

$\backslash$hline $\backslash$hline G & $3$ & F $\backslash \backslash$

$\backslash$hline $\backslash$hline H & $2$ & G $\backslash \backslash$

$\backslash$hline $\backslash$hline I & $2$ & E$,$ H $\backslash \backslash$

$\backslash$hline $\backslash$hline J & $3$ & I $\backslash \backslash$

$\backslash$hline $\backslash$hline

$\backslash$end$\{$tabular$\}$

The precedence network is: