A process uses four machines called$$ A$,$ B$,$ C$,$ and D to produce their two products called X and M$.$ Product X sells for$$ $$10$ and product M sells for$$ $$15.$ The table shows how long each product is processed on each machine. Each machine is available for $8$ hours per day and the company has demand for $15$ Xs and $20$ Ms$.$

Machine

Product X

Product M

A

$15$ min$/$unit

$15$ min$/$unit

B

$25$ min$/$unit

$5$ min$/$unit

C

$20$ min$/$unit

$10$ min$/$unit

D

$10$ min$/$unit

$20$ min$/$unit

What is the best product mix for the$$ company?