The table contains order$-$dependent setup times for three jobs. The optimal processing sequence is ABC. What is the total setup time?

Following Job's Setup Time $($hours$)$

Initial Setup Time $($hours$)$

$2$

$3$

$2$

A

C

$5$

A

B

C

Preceding Job

a

$4$

a$.7$

b$.10$

C$.14$

d$.9$

e$.13$