Lot$-$for$-$lot $($L$4$L$)$ lot sizing is used for Items C$,$ E$,$ and F; lots of size $22,50,$ and $200$ are used for Items A$,$ B$,$ and D$,$ respectively. Items A$,$ B$,$ D$,$ and E have on$-$hand $($beginning$)$ inventories of $10,15,122,$ and $100,$ respectively; all other items have zero beginning inventories. We are scheduled to receive $10$ units of A in Week $3,40$ units of B in Week $7,50$ units of F in Week $5,$ and $100$ units of E in Week $2$; there are no other scheduled receipts.

If $22$ units of A are required in Week $10,$ use the low$-$level$-$coded bill$-$of$-$materials $($product structure tree$)$ to find the necessary planned order releases for all components.