3 A quality characteristic understudy has a manufacturing specification (in cm) of 0.200 0.05. Historical data indicates that if the quality characteristic takes on values larger than 0.25 cm or smaller than 0.15 cm, the product fails and a cost of $70 is incurred. Answer the questions below. 1. Determine the Taguchi Loss Function 2. Estimate the loss for a quality characteristic of 0.135 cm. 3. If the following measurements are available for the quality characteristic x: x 0.19 0.21 0.25 Determine the expected loss. 4. The loss function for a part is: L(x) = 950(x-1.5)2. If the loss at the lower specification limit is $30, determine the lower specification limit. Problem 4 Given the reliabilities of three components as Component No. Reliability 1 0.95 2 0.90 3 0.85 1. For the following two design configurations, calculate the system reliability for each of them. Explain which design yields the better system reliability. 1 2 1 3 3 2 2. If the three components are identical in terms of functional requirement, i.e., they are interchangeable. Can you improve the better design from a) by re-arranging the components? 3. In a serial system of 4 elements with different reliabilities, which one would you improve the first if your fund is limited and why? What would you do if it is a parallel system and why