Assume the network and data that follow:

a$.$ Construct the network diagram.

$b.$ Indicate the critical path when normal activity times are used.

c$.$ Compute the minimum total direct cost for each project duration based on the cost associated with each activity. Consider durations

of $13,14,15,16,17,$ and $18$ weeks.

d$.$ If the indirect costs for each project duration are $$400(18$ weeks$),$ $$350(17$ weeks$),$ $$300(16$ weeks$),$ $$250(15$ weeks$),$ $$200(14$

weeks$),$ and $$150(13$ weeks$),$ what is the total project cost for each duration? Indicate the minimum total project cost duration.