The demand for subassembly $\backslash ($ S $\backslash )$ is $110$ units in week $7.$ Each unit of $\backslash ($ S $\backslash )$ requires $2$ units of $\backslash ($ T $\backslash )$ and $1$ unit of $\backslash ($ U $\backslash ).$ Each unit of $\backslash ($ T $\backslash )$ requires $1$ unit of $\backslash ($ V $\backslash ),1$ unit of $\backslash ($ W $\backslash ),$ and $2$ units of $\backslash ($ X $\backslash ).$ Finally, each unit of $\backslash ($ U $\backslash )$ requires $2$ units of $\backslash ($ Y $\backslash )$ and $3$ units of $\backslash ($ Z $\backslash ).$ One firm manufactures all items. It takes $2$ weeks to make $\backslash ($ S$,2\backslash )$ weeks to make T$,2$ weeks to make $\backslash (\backslash$mathrm$\{$U$\},1\backslash )$ week to make $\backslash (\backslash$mathrm$\{$V$\},2\backslash )$ weeks to make W $,2$ weeks to make $\backslash (\backslash$mathrm$\{$X$\},2\backslash )$ weeks to make Y $,$ and $2$ weeks to make $\backslash ($ Z $\backslash ).$

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In addition to $110$ units of $\backslash ($ S $\backslash ),$ there is also a demand for $30$ units of $\backslash ($ U $\backslash ),$ which is a component of $\backslash ($ S $\backslash ).$ The $30$ units of $\backslash ($ U $\backslash )$ are needed for maintenance purposes. These units are needed in week $6.$ Modify the gross material requirements plan to reflect this change $($type $0$ if the input box is not used$).$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$multirow$[$b$]\{2\}\{*\}\{$Item$\}$ & & $\backslash$multicolumn$\{7\}\{|$c$|\}\{$Week$\}$ & $\backslash$multirow$[$t$]\{2\}\{*\}\{$Lead Time $($weeks$)\}\backslash \backslash$

$\backslash$hline & & $1$ & $2$ & $3$ & $4$ & $5$ & $6$ & $7$ & $\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{2\}\{*\}\{$S$\}$ & Gross req & $0$ & $0$ & $0$ & $0$ & $0$ & $0$ & $110$ & $\backslash \backslash$

$\backslash$hline & Order release & $0$ & $0$ & $0$ & $0$ & $110$ & $0$ & $0$ & $2\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{2\}\{*\}\{$T$\}$ & Gross req & $0$ & $0$ & $0$ & $0$ & $220$ & $0$ & $0$ & $\backslash \backslash$

$\backslash$hline & Order release & $0$ & $0$ & $220$ & $0$ & $0$ & $0$ & $0$ & $2\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{2\}\{*\}\{$U$\}$ & Gross req & $0$ & $0$ & $0$ & $0$ & $30$ & & $110$ & $\backslash \backslash$

$\backslash$hline & Order release & $0$ & $0$ & $0$ & $30$ & $110$ & $0$ & $0$ & $2\backslash \backslash$

$\backslash$hline

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