You are assigned as Project Manager for a new project. During planning, you have figured out the following dependencies on required project activities:

$\backslash$table$[[$Activity$,$Predecessor,Duration $($weeks$)],[$A$,-,12],[$B$,$A$,7],[$C$,$A$,11],[$D$,$A$,8],[$E$,$A$,6],[$F$,$B$,10],[$G$,$C$,9],[$H$,$D$,$ F$,14],[$I$,$E$,$ G$,13],[$J$,,16]]$

Draw a network diagram to answer following questions:

i$.$ Define the activity and duration of the critical path $(6$ marks$)$

ii$.$ What is the float of activity B$?(2$ marks$)$

iii. What is the float of activity D$?(2$ marks$)$

iv$.$ What is the float of activity $E?(2$ marks$)$

v$.$ The Sponsor has offered to remove Activity $G$ from the project to shorten the length of the project. This made activity $C$ and $E$ the predecessor to activity I. Justify the impact on this change toward other activities $(8$ marks$)$