Office Automation Inc., developed a proposal for implementing a software system that will standardize the accounts payable function by automatically issuing an electronic payment upon receipt of the vendor invoice. Contained in the proposal is a list of activities that must be accomplished to complete the project. The following table contains relevant information about the activities.

Time $($weeks$)$ Cost $($$$1,000$s$)$

Activity Description Immediate

Predecessor Normal Crash Normal Crash

A Plan needs

$1083070$

B Order equipment A $86120150$

C Install equipment B $107100160$

D Set up training lab A $764050$

E Conduct training course D $1085075$

F Test system C$,$ E $3360$

$($b$)$

Develop an activity schedule.

Activity Earliest

Start Latest

Start Earliest

Finish Latest

Finish Slack

A

B

C

D

E

F

$($c$)$

What are the critical activities? $($Enter your answers as a comma$-$separated list.$)$

$$

What is the expected project completion time $($in weeks$)?$

$($d$)$

Assume that the company wants to complete the project in six months or $26$ weeks. What is the amount of crash time $($in weeks$)$ for each activity that minimizes cost?

$($A$,$B$,$C$,$D$,$E$)=$

$$

$$

$$

$$

$($e$)$

Develop an activity schedule for the crashed project.

Activity Earliest

Start Latest

Start Earliest

Finish Latest

Finish Slack

A

B

C

D

E

F

$($f$)$

What added project cost $($in thousands of dollars$)$ is required to meet the six$-$month completion time?

$$thousands of dollars