An Accounting firm is installing a new computer system. Several things must be done to make sure the system works properly before all the accounts are put into the new system. The managing partner of the Scott Corey accounting firm has decided that the system must be up and running $3$ weeks before the schedule. Consequently, information about crashing the project was put together and is shown in the following table:

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$]],\backslash$table$[[$Normal$],[$Time$($weeks$)]],\backslash$table$[[$Crash$],[$Timme$($weeks$)]],$Normal

Cost$$,\backslash$table$[[$Crash$],[$Cost $$]]],[$A$,-,3,2,8,000,9,800],[$B$,-,4,3,12,000,10,000],[$C$,$A$,6,4,6,000,15,000],[$D$,$B$,2,1,15,000,15,500],[$E$,$A$,5,3,5,000,8,700],[$F$,$C$,2,1,7,500,9,000],[$G$,$D$,$ E$,4,2,8,000,9,400],[$H$,$F$,$ G$,5,3,5,000,6,600]]$

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$)$ what crashing decision do you recommend to meet the desired completion time at the least possible cost? work through the network and attempt to make the crashing decision by inspection. e$)$Develop an activity schedule for the crashed project. f$)$ What added project cost is required to complete the project $3$ weeks before the schedule?