Magnaplex Inc. has a complex manufacturing process, with three operations that are performed in series. Because of the nature of the process, machines frequently fall out of adjustment and must be repaired. To keep the system going, two identical machines are used at each stage; thus, if one fails, the other can be used while the first is repaired (see accompanying figure).

The reliabilities of the machines are as follows:

Use the Excel template Systems Reliability to answer the following questions:

a. Analyze the system reliability, assuming only one machine at each stage (all the backup machines are out of operation).

b. How much is the reliability improved by having two machines at each stage?

Transcribed Image Text:

- A A Machine AB B C B The reliabilities of the machines are as follows: Reliability 0.85 0.92 0.90 C C