Question: Please answer entire question I need help thank you. A heat-treatment operation takes 6 hours to process a batch of parts with a standard deviation

Please answer entire question I need help thank you.

Please answer entire question I need help thank

A heat-treatment operation takes 6 hours to process a batch of parts with a standard deviation of 3 hours. The maximum that the oven can hold is 125 parts. Currently there is demand for 160 parts per day (16-hour day), which arrive to the heat-treatment operation one at a time according to a Poisson stream (i.e., Ca = 1). (a) What is the maximum capacity of the heat-treatment operation in terms of average number of parts per day? (b) If the maximum batch size from part(a) is used, what is the average cycle time through the operation? (Hint: CT = queue wait time + process time + wait to batch time) (c) What is the minimum batch size required for stability of system while meeting demand? (Hint: utilization for the batch process must be less than 1 to be stable)

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