MGMT $335$ HW#$3$:

Please solve the following problems related to Chapter $7$: Project Management:

Below is the table which includes the information of a new project of ABC Inc. Table $1.$

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],\backslash$table$[[$Time$],[($Weeks$)]]],[$A$,---,3],[$B$,---,5],[$C$,$A$,6],[$D$,$B$,8],[$E$,$B$,5],[$F$,$C$,$ D$,5],[$G$,$D$,$ E$,8],[$H$,$G$,$ F$,9]]$

Please answer the following questions:

$(1)$ Draw the network corresponding to the information of Table $1.$

$(2)$ Determine the critical path and the expected project duration