The demand for subassembly $S$ is $100$ units in week $7.$ Each unit of $S$ requires $1$ unit of $T$ and $2$ units of $U.$ Each unit of $T$ requires $1$ unit of $V,2$ units of W$,$ and $1$ unit of $x.$ Finally, each unit of $U$ requires $1$ unit of $Y$ and $3$ units of $Z.$ One firm manufactures all items. It takes $2$ weeks to make $S,1$ week to make $T,2$ weeks to make $U,2$ weeks to make V$,3$ weeks to make $W,1$ week to make $x,2$ weeks to make $Y,$ and $1$ week to make $Z.$

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Suppose that in addition to $100$ units of $S,$ there is also a demand for $20$ units of $U,$ which is a component of $S.$ The $20$ units of $U$ are needed for maintenance purposes. These units are needed in week $6.$ Additionally, a new order has been received for $90$ units of $S$ due in week $8.$ Modify the net material requirements plan to reflect these changes.

Construct a new net material requirements plan $($enter your responses as whole numbers$).$

$\backslash$table$[[$Item$,,$Week,$\backslash$table$[[$Lead Time$],[($weeks$)]]],[,1,2,3,4,5,6,7,8],[s,$Gross req,,,,,,,$100,90,2],[$On hand,,,,,,,$20,0],[$Net req,,,,,,,$80,90],[$Order receipt,,,,,,,$80,90],[$Order release,,,,,$80,90,,],[$T$,$Gross req,,,,,$170,1,,,1],[$On hand,,,,,$20,0,,],[$Net req,,,,,$150,,,],[$Order receipt,,,,,$150,,,],[$Order release,,,,$150,,,,]]$

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$\backslash$table$[[$Item$,\backslash$table$[[$On$-$Hand$],[$Inventory$]],$Item,$\backslash$table$[[$On$-$Hand$],[$Inventory$]]],[S,20,W,30],[T,20,x,25],[$U$,40,Y,40],[V,30,Z,360]]$