A company produces an end item $\text{'}E\text{'}.$ One unit of item $\text{'}E\text{'}$ can be made by assembling $1$ unit of $A,1$ unit of B$,$ and $2$ units of $C.$ One unit of $A$ is made of $1$ unit of $C$ and $2$ units of $D$; one unit of $B$ is assembled by using $2$ units of $M$ and $1$ unit of $N.$ On$-$hand inventories are $50$ units of A and $45$ units of C$.$ Scheduled receipts are $50$ units of A at the beginning of Week $1,100$ units of $C$ at the beginning of Week $1,$ and $100$ units of $C$ at the beginning of Week $2.$

Lead times for subassemblies A and B are $1$ week, and lead times for other components are $2$ weeks. Final assembly of $E$ requires $1$ week.

Fill in Table $1$ to prepare a master production schedule for end item $\text{'}E\text{'}$ using the fixed$-$periodof$-$two policy. The beginning inventory for $E$ is $108$ units; the forecast and promised customer orders for end item $E$ are provided in this table.

$\backslash$table$[[$Week$,1,2,3,4,5,6,7,8],[$Forecast$,45,45,50,60,60,50,50,45],[$Customer orders $($committed$),42,38,51,35,20,15,10,],[$Projected on$-$hand inventory,,,,,,,,$],[$Net Inventory before MPS$,,,,,,,,],[$MPS Receipt,,,,,,,,$],[$MPS Start,,,,,,,,$],[$Available$-$to$-$promise inventory $($uncommitted$),,,,,,,,]]$

Table $1$: MPS table for end item E in Question $1$

$2.$ Construct a product structure tree $($i$.$e$.,$ a BOM chart$).$

Answer: