BMA3201 CAT INSTRUCTIONS: ANSWER ALL THE QUESTIONS 1. The following details are available regarding a project: Activity Predecessor activity Duration [weeks] A 3 B A 5 A 7 D B 10 E C 5 D, E (a) Determine the critical path, the critical activities and the project completion time. (6 marks) (b) Calculate the Earliest and the latest start times for each activity. (5 marks) 2. A Television repairman finds that the time spent on his jobs has an exponential distribution with mean 30 minuets. If he repairs the sets in the order in which they come in, and if the arrivals of sets are approximately Poisson with an average rate of 10 per 8 hours day which is the repairs man idle time each day ?Find (i) Expected number of units in the system (2 marks) (ii) Expected number of units in the queue (2 marks) (iii) Probability of repairman being idle? (2 marks) 3. Solve the following game (6 marks) PLAYER B V 3 PLAYER A 2 6 IV 5 7 4. The demand for a particular item is 12000 units per year. The ordering cost is Rs. 100 per order and the holding cost is Rs. 0.80 per item per month. If no shortages are allowed and the replacement is instantaneous, determine The economic order quantity (3 marks) (ii) The time between orders (2 marks) (iii) The number of orders per year (2 marks)