$2.$ Solve The IE program would like to determine a schedule for the next four semesters

$$ in $11,2,,,\}$ to determine which elective courses will be offered which semester.

Because all required undergraduate courses are offered each semester, these are excluded

from consideration. Let C represent the set of elective courses c that must be scheduled.

If class c is offered, it can enroll at most uc students due to capacity limits$.$ Assume that

Semesters $1$ and $2$ occur during year $1$ and semesters $,$ and $\}$ occur during year $2.$ The

schedule developed needs to follow the following rules:

$$ Each elective course must be offered at least once during the two year planning

horizon

$$ A course cannot be offered in subsequent semesters $($e$.$g$.,$ semesters $1$ and $2)$;

there must be at least a semester gap between offerings of a given course.

$$ There must be enough capacity in elective courses to be able to accommodate N

enrollments per semester.

$$ There cannot be more than K classes offered each semester due to the number of

faculty available to teach classes.

There is no objective function for this problem the department simply wants to

determine a feasible schedule that follows the constraints outlined above.