Information concerning a project is given below. Indirect project costs amount to $$250$ per day. The company will experience a $$100$ per day penalty for each day the project lasts beyond day $14.$

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$Time $($days$)]],\backslash$table$[[$Normal$],[$Cost$]],\backslash$table$[[$Crash$],[$Time $($days$)]],\backslash$table$[[$Crash$],[$Cost$]],\backslash$table$[[$Immediate$],[$Predecessor$]]],[$A$,4,$$$1,000,3,$$$1,100,$none$],[$B$,6,$$$800,3,$$$2,000,$none$],[$C$,3,$$$600,2,$$$800,$A$,$B$],[$D$,2,$$$1,500,1,$$$2,000,$B$],[$E$,5,$$$700,3,$$$1,200,$C$,$D$],[$F$,2,$$$1,300,1,$$$1,400,$E$],[$G$,1,$$$900,1,$$$900,$E$],[$H$,4,$$$100,2,$$$900,$G$]]$

a$)$ What is the project's duration, using only normal times?

b$)$ What completion date do you recommend?

c$)$ What is the critical path?

Given the final recommended network diagram in question $2),$ use Burgess' Method to level the number of workers if each activity requires $3$ workers.