An industrial engineering team at C&H selects the most suitable supplier for a critical component. Three suppliers have been shortlisted: Suppliers S$,$ J$,$ and M$.$ The final selection is based on three evaluation criteria: cost efficiency $($C$),$ delivery reliability $($D$),$ and quality assurance $($Q$).$ The team uses the following pairwise comparison matrix to establish the relative importance of the evaluation criteria: A $=121412115451$ The performance matrices for each supplier based on the three criteria are given as: $1.$ Supplier performance in cost efficiency: AC $=1341311514512.$ Supplier performance in delivery reliability: AD $=1132311212213.$ Supplier performance in quality assurance: AQ $=11212112121$ Problem Statement $1.$ Determine the supplier who should be selected based on the performance matrices and criteria preferences. $2.$ Assess the consistency of the pairwise comparison matrix A and the supplier performance matrices AC$,$ AD$,$ and AQ$.$