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# h7sol - Massachusetts Institute of Technology 2.008 Design...

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Massachusetts Institute of Technology 2.008: Design and Manufacturing II Professor Jung-Hoon Chun Problem Set 7 Problem 7-1. Systems (a) Explain what happens to inventory as cycle time decreases. Solution: Recall that Little’s law states that L = λw where L is the average inventory, λ is the average production rate and w is the cycle time. Therefore, as cycle time decreases, the average inventory should also decrease. (b) Describe your process of doing laundry. How many operations, what are the respective pro- duction rates, do you have any buffers, what is the cycle time? Solution: The laundry piles up into big loads. I curse the laundry at a rate of 10 6 utterances per minute. I then vacuum seal the laundry into a container at a rate of 1 pound per second, and then deliver it to a service (3 minutes) down the street, and then pay a fixed rate per pound to have it done. The cycle time is 24 hours. Problem 7-2. Boston Weather (a) The average daily temperature for Boston in May is 58 . 5 F . Suppose the standard deviation

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h7sol - Massachusetts Institute of Technology 2.008 Design...

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