$2.$ Consider a process consisting of $2$ identical machines that each operate $10$ hours

per day. The machines work on three different types of products.

$$ The processing time for product A is $8$ minutes.

$$ The processing time for product B is $12$ minutes.

$$ The processing time for product C is $5$ minutes.

The demand for the products per day is as follows:

$50$ units for product A

$50$ units for product B$,$ and

$100$ units for product C$.$

Assume that the demand must be served in the mix described above $($i$.$e$.,$ for every $1$

unit of A$,$ there is $1$ unit of B and $2$ units of C$).$