Project networkRound up to 4 d.p.

S. (24 marks} For a project of building a shopping center, the activities, their immediate predecessors and activity time estimates {in months) are shown below. -_-_ (b) Construct a complete project network for the project (c) Dene the random variable T = completion time of the project. Find the mean and the standard deviation of T. (d) What is the probability that the project is completed in 30 months? (e) Suppose the (mean) times of C, E, F and G can be each cut down to 2 months, 6 months, 12 months and 3 months respectively, with crashing costs of $100. $150, $200 and $160 per month respectively. Formulate a linear program to minimize the project completion time at a budget of $3500