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Part $1$

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

$1$

$9$

$10$

$7$

$6$

$2$

$11$

$5$

$9$

$6$

$3$

$9$

$11$

$5$

$12$

$4$

$12$

$8$

$13$

$9$

Part $2$

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