$2.$ Product Y is made from one component P$,$ three components Q$,$ and two components R$.$ P is made from two part S$,$ Q is made from S$,$ and R is made from two part S and three part T$.$ Other data inclues:

Part Lead Time Lot size On$-$hand Scheduled Receipts Safety stock

Y $1$ lot$-$for$-$lot $30$ none $5$

P $24015$ none none

Q $21008$ none $8$

R $312030$ none none

S $250020500,$ week $120$

T $2600370$ none $50$

a$.$ Complete the MRP explosion for product Y$.$ Identify any problems and discuss possible solutions.

b$.$ The supplier for part S informs you that the sheduled reeipt for that par will be $1$ week lae. What problems does it cause and what possible alternatives are open to you?