Problem $1)(20$ points$)$

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.

Country RatingsKey Success

Factor

Weight

France Canada Italy Spain

Number of

consultants

$0\mathrm{.}054453$

National

literacy rate

$0\mathrm{.}055434$

Stability of

government

$0\mathrm{.}24322$

Product liability

laws

$0\mathrm{.}11333$

Product liability

laws

$0\mathrm{.}25345$

Similarity in

language

$0\mathrm{.}13333$

Acceptability

of consultants

$0\mathrm{.}23442$

Incentives $0\mathrm{.}12122$

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?