J$.$C$.$ Howard's medical testing company in Kansas wishes to assign a set of jobs to a set of machines. The following table provides the production data of each machine when performing the specific$$ job:

$$

Machine

Job

A

B

C

D

$1$

$9$

$11$

$5$

$8$

$2$

$12$

$8$

$13$

$9$

$3$

$7$

$9$

$8$

$10$

$4$

$10$

$9$

$7$

$6$

Part $2$

$$a$)$ The optimal assignment of jobs to machine that will maximize total production$$ is:

$$Machine A

$->$

$$

$$

Job $1$

Job $2$

Job $4$

Job $3$

Part $3$

$$Machine B

$->$

$$

$$

Job $2$

Job $1$

Job $4$

Job $3$

Part $4$

$$Machine C

$->$

$$

$$

Job $3$

Job $2$

Job $1$

Job $4$

Part $5$

$$Machine D

$->$

$$

$$

Job $4$

Job $3$

Job $1$

Job $2$

Part $6$

$$b$)$ The total production of the assignment$=$ enter your response here units $($enter your response as a whole$$ number$).$