$(8$ marks$)$ One unit of $A$ is composed of two units of $B$ and three units of C$.$ Each B is made of one unit of E$.$ C is made of one unit of $D,$ and two units of $E.D$ is made of two units of $E.$ Items A$,$ B$,$ C $,$ and E have $20,50,60,$ and $400$ units of on$-$hand inventory. Items A$,$ B$,$ and C use lot$-$for$-$lot $($L$4$L$)$ as their lotsizing technique, while E require multiples of $100,$ Also, we should order a minimum of $150$ units for D$.$ B has scheduled receipts for $30$ units in week $1,D$ has scheduled receipts for $50$ units in week $4,$ E has scheduled receipts for $80$ units in week $4$

No other scheduled receipts exist. Lead times are one week for items A$,$ B$,$ E$,$ and two weeks for items C$,$ D$.$ The Gross Requirement for $A$ is $20$ units in week $1,20$ units in week $2,60$ units in week $6,$ and $50$ units in week $9.$ Use the MRP Table and let us know when we should order and how many of each item we should order. Assume no backorder or lost sale is permitted. $($Note$.$ Show your BOM as well$)$

$\backslash$table$[[,$on$-$hand,lot$-$size,SR$,$LT$],[$A$,20,$L$4$L$,,1],[$B$,50,$L$4$L$,30(w1),1],[$C$,60,$L$4$L$,,2],[$D$,,$minimum of $150,50(w4),2],[$E$,400,$multiples of $100,80(W4),1]]$