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.

$\backslash$table$[[$Activity$,$Description,Immediate,Time $($weeks$),$Cost $($$$1000$s$)],[$Normal$,$Crash,Normal,Crash$],[$A$,$Plan needs,$-,10,8,30,70],[$B$,$Order equipment,A$,8,6,120,150],[$C$,$Install equipment,B$,10,7,100,160],[$D$,$Set up training lab,A$,7,6,40,50],[$E$,\backslash$table$[[$Conduct training$],[$course$]],$D$,10,8,50,75],[$F$,$Test system,$C,E,3,3,60,-]]$

a$.$ how can the project be displayed graphically to better visualize the flow of the activities?

b$.$ what are the critical activities, and what is the expected project completion time?

c$.$ assume that the conpany wants to complete the project in $6$ months or $26$ weeks. What crashing decisions do you recommend to meet the desired completion time at the least possible cost?

d$.$ what added project cost is rewuired to meet the $6$ month completion time?