Problem $9-16($Algo$)$

One unit of A is composed of two units of B and three units of C$.$ Each B is composed of one unit of F$.$ C is made of one unit of D$,$ one unit of E$,$ and two units of F$.$ Items A$,$ B$,$ C$,$ and D have $15,50,45,$ and $25$ units of on$-$hand inventory, respectively. Items A$,$ B$,$ and C use lot$-$for$-$lot $($L$4$L$)$ as their lot$-$sizing technique, while D$,$ E$,$ and F require multiples of $45,100,$ and $100,$ respectively, to be purchased. B has scheduled receipts of $30$ units in Period $1.$ No other scheduled receipts exist. Lead times are one period for Items A$,$ B$,$ and D$,$ and two periods for Items C$,$ E$,$ and F$.$ Gross requirements for A are $15$ units in Period $1,15$ units in Period $2,60$ units in Period $6,$ and $50$ units in Period $8.$

Find the planned order releases for all items.

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

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