7. [10 points] A critical part has a manufacturing specification of 4.5cm0.10. If this measurement is larger than 4.6 or smaller than 4.4, the product fails at a cost of $150. a. Calculate the k value for Taguchi loss function. What is the Taguchi loss function for this part? b. Using the above Taguchi loss function, determine the estimated loss for when the actual part dimension is 4.46cm. 8. [10 points] A face mask has three layers, each with different material. Each material can filter the particles, such as dust particles and bacteria. The mask can filter a particle if any one of the three particles can filter the particles. The reliability (ability to filter the smallest particles) of the layers are 70%,63%, and 65%, respectively. What is the overall reliability of the face mask? Your answer should show all the calculations and answer should be presented as described in the Question/ answer examples ( 2nd page )