has six orders on hand, and each needs to be processed sequentially; first through the press department and next through the plating and

department are indicated in the table below.

finishing department. The estimated times in days to complete each job in each

Departments

Press

Plating & Finishing

Jobs

F

$4$

$6$

A

$2$

$14$

B

$9$

$5$

D

$3$

$10$

E

$8$

$1$

C

$12$

$7$

Given that the same job processing order is maintained through both departments,

$($a$)$ Determine the optimum sequence and its corresponding makespan $[8$ points$)$

$($b$)$ What would be the sequence of jobs if the Shortest Processing Time $($SPT$)$ rule were applied to processing time data in:

$)$ The Press Department only $[1$ point$]$

$($II$)$ The Plating and Finishing Department only $[1$ point$]$

$($c$)$ Can the makespan for processing the jobs in both department by using the sequences you determined in part $($b$)$ be better than the one you determined in part $($a$)?$ Why or Why not?

$(2$ points$]$

You may choose to use the tables below to help determine the sequence in part $($a$)$

Step $1$

Step $2$

Step $3$

Step $4$

Step $5$

Step $6$