You need to select a design option to use for a new project. The design options have been evaluated by the team as follows: Criteria Option A Option B Option C Cost Very Good Good Poor Ease of Very Good Very Good Fair Manufacture Safety Factor Good Poor Excellent Design Aesthetics Good Poor Excellent Availability Fair Excellent Good Ease of Test Good Excellent Very Good Note: Cost refers to investment cost. Poor cost means it requires a higher investment. Availability refers to schedule. An excellent rating on this means it has a shorter schedule. Construct a numerical design matrix to screen the 3 alternatives using the information in the table. Assume that a value of excellent is a 5, good is a 3, and poor is a 1. a) Based on your matrix which design option would you use? b) Supplement your matrix with importance weights (prioritizations) for the selection criteria. Assume the following relative weights: Cost - 10% Ease of Manufacture -25% Safety Factor - 15% Design Aesthetics -5% Availability 35% Ease of Test - 10% Based on this additional information, which project would you select? Does this align with your first instinct just looking at the data? Why or why not? What if Cost and Availability percentages were flipped (Cost -35% and Availability 10%)? Which project would you select