2.

Is this optimal solution? Is there alternate optimal solution? Is the solution feasible? Is the solution degenerate? What is the optimal product mix and optimal profit?

(10 Marks)

M/s Motwani limited have taken up a special project consisting of 10 activities whose three-point time estimates are listed in the table below. Activities are marked with their node numbers.

1-2 1 2 3 1-3 1 2 3 1-4 1 2 3

Activity

Time Estimates in weeks

Optimistic

Most Likely

Pessimistic

Internal Assignment Applicable for September 2022 Examination

2-5 4 9 20 3-5 2 5 14 3-7 3 6 15 5-7 1 2 9 4-6 2 4 6 6-7 3 3 3 7-8 4 4 4

1. Find Expected time, variance and standard deviation of each activity

2. What is the probability that the project will not be completed in 20 weeks?

3. If the project includes a penalty clause of Rs.1,000 per week for any delay beyond 19

weeks then what is the probability of paying a penalty of more than Rs. 5000?