$.$ Modify the data in the model to create a problem with alternative optimal solutions. Choose the correct model below.

A$.$

Maximize Profit$=134$ L$+134$ S

$13$ L$+13$ S$<=5000$

$8$ L$+8$ S$<=4500$

L$>=0$ and S$>=0$

B$.$

Maximize Profit$=122$ L$+134$ S

$19$ L$+13$ S$<=5000$

$6$ L$+8$ S$>=5000$

L$>=0$ and S$>=0$

C$.$

Maximize Profit$=122$ L$+134$ S

$19$ L$+13$ S$>=5000$

$6$ L$+8$ S$>=4500$

L$>=0$ and S$>=0$

D$.$

Maximize Profit$=122$ L$+134$ S

$13$ S$<=5000$

$6$ L$+8$ S$<=4500$

L$>=0$ and S$>=0$

Part $2$