(a) Consider the schedule of activities and related information in the construction of a new plant in the table shown below. Normal duration Variance Expected cost Activity (months) (months) (Rs) 1-2 4 1 500000 2-3 2 1 300000 3-5 3 1 400000 2-4 6 2 900000 1-6 2 1 200000 6-5 LO 5 1 1200000 4-5 9 5 2000000 6-7 7 8 700000 7-8 10 16 1400000 5-8 1 1 400000 (i) Draw the network diagram for the above project. The network diagram must show the earliest and the latest starting times for each activity. (ii) Identify the critical activities. (iii) What is the expected time required to build the plant? (iv) Calculate the expected cost of constructing the plant? (v) Calculate the variance in the expected time of project completion. [9+1+1+2+2 marks] 17 Ao AD AD A 3 B 5 2 AD AD 15 H 7 3 2 2