Given the following product structure $($BOM$)$ and inventory status. Determine the quantity and timing of each component that must be produced. Planned order for component A is $50$ units in period $10.$

Item OH$(1)$

A $($LT$=1)$

A $0$

B $30$

D$($LT$=4)$ F$($LT$=3)$ C$($LT$=2)$ C $50$

$3$ units $2$ units $4$ units D $40$

E $100$

F $50$

B$($LT$=3)$ F$($LT$=3)$ B$($LT$=3)$ E$($LT$=5)$ D$($LT$=4)$

$4$ units $1$ unit $1$ unit $3$ unit $2$ units