Web Star, Inc. has four projects to complete and four workers with varying degrees of expertise in web development for particular industries. Estimates of processing times $($in hours$)$ for each project by each worker are shown below. Development time costs an average of $$100$ an hour. Assign each worker to a project so that the total cost is minimized.

Worker

Project $1$

Project $2$

Project $3$

Project $4$

Bryan

$10$

$5$

$6$

$10$

Kari

$6$

$2$

$4$

$6$

Noah

$7$

$6$

$5$

$6$

Chris

$9$

$5$

$4$

$10$

$$

a$.$ What is your final assignment?

b$.$ What is the total cost of completing these four projects?