1. (AHP & Decision Criteria - 13 pts) Carlos is trying to decide where to open his new restaurant. He has narrowed the choices to three locations: Campus (C), University Blvd (U), and Downtown (D). Carlos' main considerations are monthly rent (R), location (L), and overall vibe (V). (a) (3pts) Given the criteria comparison matrix below, what is his weighting of the different criteria? Solve for WR, WL, WV. Criteria R L V R L 1/4 1 2 1/3 1/2 1 (b) The table below provides Carlos' normalized score for each location according to the different criteria. Criteria/Loc C U D R 1/10 6/10 3/10 6/20 4/20 10/10 2/20 8/20 10/20 i. (3pts) Based on all information provided draw the corresponding AHP tree (with the appropriate weights, decision criteria, and scores) ii. (3pts) Which location should Carlos select according to the AHP tree? (c) The profits expected for each location depend on random factors related to customer traffic, staffing, food prices, crime, and possible rezoning. The table below contains the different random states ($1, ..., $5) that might occur at each of the three locations (Campus, University, and Downtown) along with the expected profits. Location $1 $2 $5 Campus 73 67 73 45 69 University 81 64 83 3 44 Downtown 44 38 86 22 85 i. (2pts) Given the table above, apply the appropriate Minimax or Maximin decision criteria to select the best location for the restaurant. (If you use both, you will not receive any points) ii. (2pts) Given the table above, apply Savage Regret to select the best location for the restaurant. Your answers A. WR= WL= WV= B. Decision According to AHP: C. Best Decision for Minimax/Maximin Best Decision for Savage Regret