Question 1 The university 1s putting together three task forces to consider various changes to the governance structure of three faculties. A handful of members have been pre-selected to form these teams and the university has tasked you with putting these three teams together. Each team should have each faculty represented and should be about equal in the average age of the group. In addition, each group must contain at least one member whose primary language 1s French and another whose primary language 1s English. Finally, due to interpersonal conflict on previous committees 1t 1s deemed prudent that Candidate 1 not be placed 1n the same group as Candidate 7. The mformation required 1s provided in the table below. Each group 1s made of 3 members. Ag h 9 French [Science 41 00000 Provide the LP formulation for this problem and solve to provide the optimal solution. Submut an Excel file with your formulation together with an answer report. (Hmt: try creating the objective as a goal program where the goal for each task force 1s to get the average age as close to the average age of all candidates.)|