The following table shows, for each activity of a project, the normal and crash times as also the normal and crash costs. The contract includes a penalty clause of Rs 200 per day in excess of 19 days.

The overhead cost is Rs 400 per day.

(a) Draw the project network and determine the critical path.

(b) Find the cost of completing the project in normal time.

(c) Crash the project activities and determine the cost of completing the project in the minimum time.

(d) What is the optimal duration of the project and what is the cost involved?

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Activity Time (Days) Cost (Rs) Normal Crash Normal Crash 1-2 1-3 2-4 2-5 3-4 4-6 8 5-6 6-7 42314422 64536043 600 1,000 600 1,400 500 1,500 450 650 900 2,000 800 3,000 400 1,000 450 800