Problem $2.(15$ 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:

End Panel

Operation Machine Run Time Setup Time

$1$ Saw $5$ minutes $0\mathrm{.}6$ hour

$2$ Planer $3$ minutes $0\mathrm{.}3$ hour

$3$ Router $4$ minutes $0\mathrm{.}8$ hour

Shelf

Operation Machine Run Time Setup Time

$1$ Saw $4$ minutes $0\mathrm{.}5$ hour

$2$ Molder $5$ minutes $1\mathrm{.}3$ hours

$3$ Router $5$ minutes $0\mathrm{.}7$ hour

$4$ Sander $1$ minute $0\mathrm{.}1$ hour

he master schedule for the next three weeks is $35,50,$ and $40$ bookcases, respectively.

Each MPS quantity requires a setup.

a$.(5$ pts$)$ What is the total number of hours required on each of the five machine centers

for each week?

b$.(5$ pts$)$ 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$.(5$ pts$)$ If$,$ in part b$,$ the two parts arrive at the router on the same day, which would you

process first? Why?