Exercise $1$: Construct a mathematical model of an integer programming pro$-$

blem and use Solver to nd the optimal solution $($don$\text{'}$t forget to add integer

constraints in the Constraints$)$:

d$)$ Service Schedule Problem

The administration of an art fund requires the following numbers of staff for a

gallery on individual days:

Employees start their work in such a way that they work $5$ consecutive days

followed by two days off. Start days can be any day of the week.

The task is to determine the smallest number of employees and schedule their

shifts into $5-$day work cycles so that operational needs are covered every day of

the week.