Question 1(4 marks): Machine A costs Rs 9000. Annual operating cost are Rs 200 for the 1st year, and then increase by Rs 2000 every year. Determine the best age at which to replace the machine. If the optimum replacement policy is followed, what will be the average yearly cost of owning and operating the machine? (Assume that the machine has no resale value when replaced, and that future cost are not discounted). The maintenance cost of machine A per year are as follows: 2 3 4 5 Maintenance 200 2200 4200 6200 8200 Cost in Rs Year 1 Question 2(5 marks): An automatic machine uses 250 moving parts as part of it assembly. The average' cost of a failed moving part is Rs 200, Removing the failed part and replacing it is time consuming and disrupts manufacture, due to this problem the management is considering group replacement policy i.e. replacing all the moving parts with a specific interval. What replacement policy should the manufacture adopt? The information regarding the machine break down and the cost is as given below. 1 2 3 4 5 6 Use time in months Probability failure 0.05 0.05 0.10 0.15 0.25 0.40 Replacement Cost Purchase 200 Installation 500 Individual Replacement Group Replacement 150 200 Question 3 (3 marks): The failure of machines is assumed to follow a Poisson probability distribution. Suppose on average, a machine fails once every 10 years. What is the probability that: (1) it will not fail in the next 12 months? (2) it will fail once in the next 24 months? Question 3(3 marks): (1) When does MTBF is used instead of MTTF? (2) Belt of an electric motor is broken; it needs: (A) Corrective maintenance (B) Scheduled maintenance (C) Preventive maintenance (D) Timely maintenance Your Answer is (Just Write the Suitable Letter): (3)(3) The time elapsed from the point the machine fails to perform its function to the point it is repaired and brought into operating condition is known as: (A) Down time (B) Break Down time (C) Both (A) and (B) (D) Idle time Your Answer is (Just Write the Suitable Letter)