1. Components Ordering and Purchasing [ 5+10 points]: LSU needs many bookshelves for different offices. In addition to many other auxiliary assembly items and operations, a bookshelf requires one special sub-component W which is itself a sub-assembly of parts X and Y while X itself is also an assembly of part Z. This assembly structure and the ordering policies for procurement of the respective parts are shown in the product hierarchy tree with appropriate legend below. Legend: \begin{tabular}{l|l} Io: Beginning Inventory & Part \# (I0,L,N) \\ Lot Size Policy \end{tabular} L: Leadtime, and N: Number of parts needed for a parent product (a) Determine how many W,X,Y and Z are needed for 5 bookshelves for the above assembly structure. (b) Determine the planned order release (POR) and bill of materials (BOM) for all parts W, X, Y and Z for 10 bookshelves needing on week 4 if the lead time L=1 (week) and beginning I0=0 for all components