You are investigating the life cycle water footprint Y (in m…
You are investigating the life cycle water footprint Y (in m3) of a novel product that is being developed at a lab scale. By combining a preliminary simplified LCA and a regression analysis, you have determined that Y is dependent on the polyethylene (X1), natural gas (X2) and sodium hydroxide (X3) consumed in developing the novel product. The relationship is defined by the following equation: Y = X1+X22+X34 By collaborating with the technology developers, you have determined that X1, X2 and X3 are distributed as follows: X1 : Uniformly distributed between (0,1) X2 : Uniformly distributed between (0,2) X3 : Uniformly distributed between (0,k) (Hint: use the Python script for calculating MISA Delta indices) Email the Python file; I will check it to make sure it works and generates the results you are using to answer this question. Please name the Python file as “Exam 2 Q5” 5a) At what value of k will Y be equally sensitive to X2 and X3 in a MISA Delta analysis? (7 points) 5b) Why do you think k is greater or smaller than the upper bound of X2 (i.e., 2)? Explain the procedure you have used and email the output from the Python code. (8 points)