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.

$1$a$.$ 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. $[4$ marks$]$

$\backslash$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,,,,,,,,$]]$

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

$1$b$.$ Construct a product structure tree $($i$.$e$.,$ a BOM chart$).[4$ marks$]$

Answer: