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$,7],[$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

$(3)$ Determine the following quantities for each activity: the earliest start time, the latest start time, the earliest finish time and the latest finish time and the slack time. Please complete Table $2$ with your answer.

Table $2.$

$\backslash$table$[[$Activity$,\backslash$table$[[$Earliest$],[$Start$]],\backslash$table$[[$Earliest$],[$Finish$]],\backslash$table$[[$Latest$],[$Start$]],\backslash$table$[[$Latest$],[$Finish$]],$Slack$],[$A$,,,,,],[$B$,,,,,],[$C$,,,,,],[$D$,,,,,],[$E$,,,,,],[$F$,,,,,],[$G$,,,,,],[$H$,,,,,]]$

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$,7],[$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

$(3)$ Determine the following quantities for each activity: the earliest start time, the latest start time, the earliest finish time and the latest finish time and the slack time. Please complete Table $2$ with your answer.

Table $2.$

$\backslash$table$[[$Activity$,\backslash$table$[[$Earliest$],[$Start$]],\backslash$table$[[$Earliest$],[$Finish$]],\backslash$table$[[$Latest$],[$Start$]],\backslash$table$[[$Latest$],[$Finish$]],$Slack$],[$A$,,,,,],[$B$,,,,,],[$C$,,,,,],[$D$,,,,,],[$E$,,,,,],[$F$,,,,,],[$G$,,,,,],[$H$,,,,,]]$