The following information is given about a project whose network diagram is shown in Fig. $3($drawn using the normal durations$).$ Activities $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ mark the start of the project while activities E$,$ D and F mark the end of the project.

Project overhead $($indirect$)$ costs are USD $500$ per day.

a$)$ Compress the network from its normal duration to its crash duration. Clearly show all the steps and indicate the costs associated with each compression. How much would be spent?

$[12$ points$]$

b$)$ Sketch the direct cost versus project duration graph.

c$)$ Sketch the indirect cost versus project duration graph.

d$)$ Sketch the total cost versus project duration graph.

e$)$ What is the optimum project duration?

Hints: Compress until this can't be compressed any further. For graphs, refer to class lecture notes. The optimum point would be the minimum total cost point.