Complete a critical path analysis to answer the following:

What is the latest start for activity $5?$

Activity

ID

Description

Activity

Predecessor

Activity

Time $($weeks$)$

$1$

Staff

None

$2$

$2$

Develop market program

$1$

$3$

$3$

Select channels of distribution

$1$

$8$

$4$

Patent

$1$

$10$

$5$

Pilot production

$1$

$4$

$6$

Test market

$5$

$4$

$7$

Ad promotion

$2$

$4$

$8$

Set up for production

$4,6$

$16$