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

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Part $2$

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 $6.$ Modify the gross material requirements plan to reflect this change $($type $0$ if the input box is not$$ used$).$

Week

Lead Time

Item

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$($weeks$)$

S

Gross req

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$$Order release

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$2$