Accounting Software Implementation. Office Automation Inc., developed a pro$-$posal 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 $($$$1000$s$)$ActivityDescriptionPredecessorNormalCrashNormalCrashAPlan needs$1083070$BOrder equipmentA$86120150$CInstall equipmentB$107100160$DSet up training labA$764050$EConduct training courseD$1085075$FTest systemC, E$3360$

Case Problem $1$: R$.$ C$.$ Coleman$423$a$.$Develop a project network.b$.$Develop an activity schedule.c$.$What are the critical activities, and what is the expected project completion time?d$.$Assume that the company wants to complete the project in six months or $26$ weeks. What crashing decisions do you recommend to meet the desired completion time at the least possible cost? Identify crashing decisions via manual inspection or linear programming.e$.$Develop an activity schedule for the crashed project.f$.$What added project cost is required to meet the six$-$month completion time?