A company produces an end item $$E$.$ One unit of item $$E$$ 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.