PLEASE GIVE A CLEAR AND LEGIBLE ANSWER WITH A CLEAR DIAGRAM. The data on normal time, and cost and crash time and cost associated with a project are shown in the following table.

$\backslash$table$[[$Activity$,$Normal,,Crash$],[,$Time$($weeks$),$Cost $($ Rs $),,$Time $($weeks$),$Cost $($ Rs $)],[1-2,3,300,2,400,],[2-3,3,30,3,30,],[2-4,7,420,,5,580],[2-5,9,720,,410,],[3-5,5,250,,300,],[4-5,0,0,0,0,],[5-6,6,320,4,410,],[6-7,4,400,3,470,],[6-8,13,780,10,900,],[7-8,10,1,000,9,1,200,],[,,4,220,,,]]$

Indirect cost is Rs $50$ per week.

$($a$)$ Draw the network diagram for the project and identify the critical path.

$($b$)$ What are the normal project duration and associated cost?

$($c$)$ Find out the total float associated with non$-$critical activities.

$($d$)$ Crash the relevant activities and determine the optimal project completion time and cost.