S$9$: ADDITIONAL EXAMPLES Workforce Scheduling

Example $1$

A Krispy Kreme restaurant wants to schedule its $8$ staff under consideration of the following constraints:

Each employee works $5$ days per week and must take $2$ consecutive days off

If the pair Saturday$-$Sunday is among the pairs with the lowest requirement, preference goes always to the pair Saturday$-$Sunday off

If the pair Saturday$-$Sunday is not among the pairs with the lowest requirement, select the pair that minimizes the number of different schedules

Please fill out the schedule and calculate the slack capacity for each day. How many different work schedules do you find?

$\backslash$table$[[$Day$,$Sun,Mon,Tue,Wed,Thu,Fri,Sat$],[$Required number of employees,$6,5,4,4,8,4,5$