$1\mathrm{.}2$ A town$$s council has established a project proposal team to select a project to improve local services for their citizens. Use a weighted scoring model to analyze three possible projects $($A$,$ B$,$ C$)$ for improving their services. The relative weights for each criterion are shown in the following table. A score of $1$ represents unfavorable, $2$ satisfactory, and $3$ favorable.

Project

Success Factor

Weight

A

B

C

Project cost

$20$

$1$

$2$

$3$

Timely completion

$20$

$2$

$3$

$1$

Service quality

$10$

$2$

$1$

$3$

Contractor relations

$10$

$3$

$3$

$2$

Affordability

$10$

$2$

$1$

$1$

Citizen satisfaction

$25$

$1$

$2$

$3$

County relations

$5$

$2$

$2$

$2$

$1\mathrm{.}3$

Compare your answer in Exercise $1\mathrm{.}2$ to the answer you would have found if you had used an unweighted, $0-1$ scoring model. Assume that a score of $1$ means does not qualify and a $2$ or $3$ means it does qualify.

Next, revise the unweighted model by deleting all success factors that, as recommended, have a weight of less than $20$ percent. Compare to your answer to $($a$)$ above and also Exercise $1\mathrm{.}2.$ Which method seems best?