Question 1
A manufacturing firm wants to apply 6-sigma standards to its automated tolerance-check process. Suppose that each scanner makes the correct decision only 50% of the time, however only 1 correct decision by any scanner makes the entire process a success. How many scanners are needed to ensure 6-sigma quality?
Question 2
A product design team is preparing to build a new doohickey. A doohickey consists of one A module, one B module, and one C module. There are different versions of these modules available in the company's design library. For example, there are two choices for A: A1 is .99 reliable, while A2 is .975 reliable. The table below details the choices available, along with the cost of each choice.
| Module variation | Reliability | Cost, each |
| A1 | .99 | $17 |
| A2 | .975 | $10 |
| B1 | .995 | $4 |
| B2 | .992 | $3 |
| C1 | .98 | $2 |
| C2 | .90 | $0.50 |
| C3 | .60 | $0.25 |
Help the design team by selecting the least costly version of a doohickey that has system reliability of at least .96. Draw a schematic of your finished design.
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