Problem $1.(30$ points$)$

A furniture manufacturer makes a bookcase from two end panels, four shelves, fasteners, and hangers. The end panels and shelves have the following data:

a$.$ What is the total number of hours required on each of the five machine centers for each week?

b$.$ If each of the two parts is started into production one week $($five days$)$ before needed in assembly, and it takes one day per operation, generate the week$-$by$-$week load on the routing machine.

c$.$ If$,$ in part b$,$ the two parts arrive at the router on the same day, which would you process first? Why?