table contains relevant information about the activities.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$cline $\{4-8\}\backslash$multicolumn$\{2\}\{$c$|\}\{\}$ & $\backslash$multicolumn$\{2\}\{$c$|\}\{$ Time $($weeks$)\}$ & $\backslash$multicolumn$\{2\}\{$c$|\}\{$ Cost $(\backslash$$$1,000$s$)\}\backslash \backslash$

$\backslash$hline Activity & Description & $\backslash$begin$\{$tabular$\}\{$c$\}$

Immediate $\backslash \backslash$

Predecessor

$\backslash$end$\{$tabular$\}$ & Normal & Crash & Normal & Crash $\backslash \backslash$

$\backslash$hline A & Plan needs & & $10$ & $8$ & $30$ & $70\backslash \backslash$

$\backslash$hline B & Order equipment & A & $8$ & $6$ & $120$ & $150\backslash \backslash$

$\backslash$hline C & Install equipment & B & $10$ & $7$ & $100$ & $160\backslash \backslash$

$\backslash$hline D & Set up training lab & A & $7$ & $6$ & $40$ & $50\backslash \backslash$

$\backslash$hline E & Conduct training course & D & $10$ & $8$ & $50$ & $75\backslash \backslash$

$\backslash$hline F & Test system & C$,$ E & $3$ & $3$ & $60$ & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$($a$)$ Develop a project network.

$($i$)($b$)$ Develop an activity schedule.

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

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

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?

$\backslash [$

$($A$,$ B$,$ C$,$ D$,$ E$)=(\backslash$quad$)$

$\backslash ]$

$($e$)$ Develop an activity schedule for the crashed project.

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