The owner of a chain of fast foods restaurants is considering a new computer system for accounting and inventory control. A computer company sent the following information about the system installation:

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$]],\backslash$table$[[$Most$],[$Optimistic$]],$Most Likely,$\backslash$table$[[$Most$],[$Pessimistic$]]],[$A$,,4,6,8],[$B$,$A$,5,7,15],[$C$,$A$,4,8,12],[$D$,$B$,15,20,25],[$E$,$B$,10,18,26],[$F$,$C$,8,9,16],[$G$,$E$,4,8,12],[$H$,$D$,$ F$,1,2,3],[$I$,$G$,$ H$,6,7,8]]$

a$)$ Drawer a network diagram for the company

b$)$ Determine the time and variance for each activity.

c$)$ Show the activity schedule $($ES$,$ EF$,$ LS$,$ and LF$)$ as well as slack $($in table$)$

d$)$ Determine and state the critical path for the project.