Problem $9-17($Static$)$

Each unit of A is composed of one unit of B$,$ two units of C$,$ and one unit of D$.$ C is composed of two units of D and three units of E$.$ Items A$,$ C$,$ D$,$ and E have on$-$hand inventories of $20,10,20,$ and $10$ units, respectively. Item B has a scheduled receipt of $10$ units in Period $1,$ and C has a scheduled receipt of $50$ units in Period $1.$ Lot$-$for$-$lot $($L$4$L$)$ lot sizing is used for Items A and B$.$ Item C requires a minimum lot size of $50$ units. D and E are required to be purchased in multiples of $100$ and $50,$ respectively. Lead times are one period for Items A$,$ B$,$ and C$,$ and two periods for Items D and E$.$ The gross requirements for A are $30$ in Period $2,30$ in Period $5,$ and $40$ in Period $8.$

Find the planned$-$order releases for all items.

Note: Leave the cells blank, whenever zero $(0)$ is required.