One unit of A is made of three units of B$,$ one unit of C$,$ and two units of D$.$ B is composed of two units of E and one unit of D$.$ C is made of one unit of B and two units of E$.$ E is made of one unit of F$.$ Items B$,$ C$,$ E$,$ and F have on$-$week lead times; A and D have lead times of two weeks. Assume that lot$-$for$-$lot $($L$4$L$)$ lot sizing is used for Items A$,$ B$,$ and F; lot sizes of $50,50,$ and $200$ are used for Items C$,$ D$,$ and E$,$ respectively. Items C$,$ E$,$ and F have on$-$hand $($beginning$)$ inventories of $10,50,$ and $150,$ respectively; all other items have zero beginning inventory. We are scheduled to receive $10$ units of A in Week $2,50$ units of E in Week $1,$ and also $50$ units of F in Week $1.$ There are no other scheduled receipts. If $30$ units of A are required in Week $8,$ find the necessary planned order releases for all components.