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Problem 7 The following fraction nonconforming control char.pdf

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Please refer to the Network Diagram below. Let X ij represent the number of units shipped from i to j, where i=1,2,3 and j=4,5,6. The objective function is to minimize overall transportation cost while making sure all demand is met. Answer each question independently of the other questions. Unit shipping costs are intentionally hidden from the diagram.Suppose that the original problem has a unique, non-degenerate solution. Part of this solution requires Plant 3 to send 20 units to Retailer 4,20 units to Retailer 5 and 10 units to Retailer 6 . Then, Plant 3 's capacity unexpectedly is reduced by 5 units due to a malfunctioning machine. If we solve the new problem, what would happen to the objective function value (the total transportation cost)? None of the others The objective function value would increase. The objective function value would not change. The objective function value would decrease. The objective function value would either stay the same or decrease..

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Problem 7: The following fraction nonconforming control chart with n=100 is used to monitor a process: UCL=0.0750;Centerline=0.0400;LCL=0.0050 a. Use the Poisson approximation to the binomial to find the probability of a type I error. b. Use the Poisson approximation to the binomial to find the probability of a type II error, if the true process fraction nonconforming is 0.0600.

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