see images below for questions

https://link.springer.com/content/pdf/10.1007/s00158-013-0891-z.pdf

You are a consultant working with the American Aviation Company (AAC) to design a general aviation aircraft (GAA). You've run a multi-objective optimization using the 10 objective formulation described by Woodruff et al., (2013). A description of each of the 10 objectives can be found in the table below. To make things simpler, all objectives that are being maximized have been made negative, so that universally lower values are preferred for all objectives. (Note: It's recommended to use Excel, Python or Matlab for parts a-c) Table 3 GAA Objectives Name Description Unit Preference Takeoff noise (NOISE) Measurement of noise at takeoff dB Minimize Empty weight (WEMP) Weight of the aircraft without passengers lb Minimize Direct operating cost (DOC) Cost of flying the aircraft 1970$/hr Minimize Ride roughness (ROUGH) Measure of flight roughness ratio Minimize Fuel weight (WFUEL) Weight of fuel 1b Minimize Purchase price (PURCH) Price of purchase 1970$ Minimize Range (RANGE) Flight range nmi Maximize Lift-drag ratio (LDMAX) A measure of flight performance ratio Maximize Cruising speed (VCMAX) Aircraft cruising speed Knots Maximize Product Family Penalty Function A measure of commonality across aircraft Unitless Minimize (PFPF) families (2, 4 and 6 seats) a. Using the goal programming methodology described in Woodruff et al., (2013) equation 2, select a solution from the Pareto set using the following goals. Ignore objectives that do not have goals and you do not need to worry about separating the 2, 4 and 6 seat metrics Objective Name: NOISE WEMP DOC ROUGH WFUEL PURCH RANGE LDMAX VCMAX PFPF Goal: NA 1950 60 NA 400 42000 -2500 -17 -200 NA What ID number is selected? Describe this solution. (Note: for this part of the problem, use the file named "GAA_pset_IDs.csv"). |b. Plot the goal programming performance against the PFPF objective and note the location of the solution selected in part (a). Highlight the Pareto Front, is there a tradeoff between the two performance measures? c. Does the goal programming solution lie on the Pareto front? What does its location say about the a priori method? d. Now use J3 and the dataset named "GAA_pset.csv" to examine the entire 10 objective Pareto set. An executive at the rm would like an aircraft that meet the following criteria: DbiBiVBNam= NOISE WEMP DOC ROUGH WFUEL PURCH RANGE LDMAX VCMAX PFPF Criteria 221? >15.4 >195.1