PROBLEM $3$

Fusion Engineering Inc. is designing a new product for welding two different alloys. The company has limited time and resources to complete the project. The following activity information is available.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],\backslash$table$[[$Normal$],[$Time$],[($Days$)]],\backslash$table$[[$Normal$],[$Cost $($$$)]],\backslash$table$[[$Crash$],[$Cost$/$Day $($$$)]],\backslash$table$[[$Crash Time$],[($Days$)]]],[$A$,-,4,400,125,3],[$B$,$A$,5,800,200,4],[$C$,$A$,4,520,150,2],[$D$,$B$,3,600,225,2],[$E$,$C$,3,255,100,2],[$F$,$B$,$ E$,4,600,175,2]]$

a$)$ Draw the project network.

b$)$ Find critical path.

c$)$ Find the project completion time and the corresponding cost.

d$)$ What is the total cost, if the project deadline is $13$ days?

e$)$ Assume the project deadline to be $10$ days. The company has to bear $$170$ for each day of delay. Find the optimal number of days to crash the project.

$2$