An American consulting firm is planning to expand globally by opening a new office in one of four countries: France, Canada, Italy, or Spain. The chief partner entrusted with the decision, L$.$ Wayne Shell, has identified eight key success factors that he views as essential for the success of any consultancy. He used a rating system of $1($least desirable country$)$ to $5($most desirable$)$ to evaluate each factor.

$\backslash$table$[[$Key Success Factor,Weight,Country Ratings$],[,,$France,Canada,Italy,Spain,$],[\backslash$table$[[$Number of$],[$consultants$]],0\mathrm{.}05,4,4,5,3,],[\backslash$table$[[$National$],[$literacy rate$]],0\mathrm{.}05,5,4,3,4,],[\backslash$table$[[$Stability of$],[$government$]],0\mathrm{.}2,4,3,2,2,],[\backslash$table$[[$Product liability$],[$laws$]],0\mathrm{.}1,1,3,3,3,],[\backslash$table$[[$Product liability$],[$laws$]],0\mathrm{.}2,5,3,4,3,],[\backslash$table$[[$Similarity in$],[$language$]],0\mathrm{.}1,3,3,3,2,],[\backslash$table$[[$Acceptability$],[$of consultants$]],0\mathrm{.}2,3,4,2,,]]$

a$)$ Which country should be selected for the new office?

b$)$ If Spain's score were higher in the Stability of government factor, to a $5,$ how would its overall score change? On this factor, at what score for Spain would the rankings change?