A company is choosing an outside firm to provide its payroll services. It has chosen four comparative categories of interest: client reviews, financial condition, IT capabilities, and government stability. These categories have been assigned weights of $20\%,10\%,40\%,$ and $30\%,$ respectively. Three potential providers were scored on each of those factors $($see table below$)$ using a scale of $1-10,$ with a score of $1$ meaning worst possible and $10$ meaning best possible.

A: Using the factor$-$rating method, which provider should be chosen?

B: Conduct a sensitivity analysis about the weight change interval between Financial

Condition and Government Stability.