Hey as per your demand here I am giving you IIT Bombay Exam Paper for MTECH for your practice
A manufacturing facility has four stages in series (i.e. every product has to go through each stage in sequence), A-B-C-D with processing rates of 4 units per hour, 5 units per hour, 4 units per hour and 6 units per hour respectively. The maximum achievable throughput is?

2. Consider the manufacturing facility given in the previous question. If you have to invest in any stage to improve the processing rate, so as to achieve higher throughput which stage(s) will you invest initially: stage A, B, C or D?

3. In designing a health facility (e.g. a diagnostic centre), there could be many objectives. One such objective
is Maximize ‘Utilization of the personnel in the facility’. Identify the objective(s) which are perhaps
conflicting with the above objective.
A. Minimizing the average waiting time of customers
B. Minimizing the average number of customers waiting
C. Minimizing the number of customers who wait beyond some time (e.g. two hours)
D. Maximize the total revenue of the hospital

4. We flip a fair coin 10 times. What is the probability of getting exactly 5 heads?

Here I am attaching PDF for complete paper

MTECH paper






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