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1. Reliability Manuplex, Inc. plans to set up a complex manufacturing process which incorporates three types of machines. Because of the nature of the process, machines frequently fall out of adjustment and must be repaired. To keep the system going, two machines are used at cach stage; thus, if onc fails, the other can be used while the first is repaired. The company is now checking three plans (sce accompanying figure). Plan A A B B c Production System Plan B A B A A Production System Plan C. B B Production System "The reliabilities of the machines are as follows: Machine Reliability 0.91 0.75 0.85 a. Analyze the system reliability of the three plans. b. Which plan has the highest reliability? 2. Process Capability A machining process at the Mach4 Tool Co. has a required dimension on a part of 0.575 +0.008 inch. Adjustments were made in the process at the Mach4 Tool Co. In total 25 samples were taken. The results are given in the worksheet tab "Mach4 Tool" in the Excel filc MGMT421 l'inal Data.xlox in Canvas - Modules-Final. What is its capability for producing within acceptable limits (please compute Cp, Cpu, Cpl, and Cpk)? Is it capable of producing within acceptable limits? 3. Quality assurance Please explain the importance of the formula (8.5) fotat = oprocess + o measurement = 4. Six Sigma List the key principles of the six Sigma philosophy. How does it differ from TQM