please help with question 4 and 5.
ber aradruik pouition. determaine the liniting nepermatrie. \begin{tabular}{l|l|l|l|} \hlineC & C1 & C2 & C3 \\ \hlineC1 & 1 & 2 & 3 \\ \hlineC2 & 0,5 & 1 & 2 \\ \hlineC3 & 0,33 & 0,5 & 1 \\ \hline \end{tabular} \begin{tabular}{l|l|l|l|} \hline C1 & A & C & P \\ \hline A & 1 & 0,5 & 0,33 \\ \hline C1 & 2 & 1 & 0,5 \\ \hline P & 3 & 2 & 2 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hlineG & C1 & C2 & C3 \\ \cline { 2 - 4 } & 1 & 3 & 2 \\ \hlineC2 & 0,33 & 1 & 0,5 \\ \hlineC3 & 0,5 & 2 & 1 \\ \hline \end{tabular} CB \begin{tabular}{|l|l|l|} \hlineA & C & P \\ \hline 1 & 5 & 5 \\ \hline 0,2 & 1 & 1 \\ \hline 0,2 & 1 & 1 \\ \hline \end{tabular} c1 c G \begin{tabular}{|l|l|l|} \hlineG & P \\ \hlineP & 1 & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & 1 & \\ \hline \end{tabular} C 1 \begin{tabular}{l|l|} \hlinec & 6 \\ \hline & 1 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline & A & C \\ \hline A & 2 & 0,5 \\ \hline C & 2 & 1 \\ \hline \end{tabular} c P \begin{tabular}{|l|l|l|} \hline C3 & C & G \\ \hline C & 1 & 2 \\ \hline G & 0,5 & 1 \\ \hline \end{tabular} In this problem, the goal of decision making is to select the best candidatelfor a new neademic position among three candidates. For this position, the two main criterix considered includes scientific contributions, and teaching contributions. In order to measure the scientifie contribution of a candidate, the number of articles (A), the number of citations (Ci) and the number of research projects (P) are considered. In order to measure the teaching contribution of a candidate, the courses developed (C), and the grading received from the students (C) are considered. The pairwise comparison matrices given below have been obtained from decision makers. 1. Determine the consistency of the Goal vs the Scientifie contributions pairwise comparison matrix. [Note: Typically, consistency is determined for every pairwise comparison matrix.] 2. Construct an ANP network and corresponding dependency matrix to illustrate the dependency between clusters and clements in the ANP network. 3. Fill in the respective entries of the unweighted supermatrix. 4. Determine the weighted supermatrix. Assume that on cluster level, with respect to the teaching cluaster, teaching and science has the same importance, and the alternatives cluster are 4 times more important than the of her two clusters. With respect to the science cluster, the alternatives cluster are 3 times more important than the teaching and science clusters. The science and teaching clusters have equal importance with respect to the alternatives cluster. Finally, scientific contributions are considered two times more important than teaching contributions, with respect to the new academic position. 5. Determine the final priorities for the candidates. You may either use R. Pythou, or Excel to determine the limiting supermatrix
