Consider a process consisting of $3$ 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 $20$ minutes.

$$ The processing time for product C is $15$ minutes.

The demand for the products per day is as follows:

$100$ units for product A

$50$ units for product B$,$ and

$75$ units for product C$.$

Assume that the demand must be served in the mix described above $($i$.$e$.,$ for every $1$ unit of B$,$ there are $2$ units of A$,$ and $1\mathrm{.}5$ units of C on average$).$

If the demand for all products per day is doubled $($i$.$e$.$ there is demand for $200$ units

of A$,100$ units of B$,$ and $150$ units for C$),$ what is the utilization of the process? $(3$

points$)$