Develop your optimization model to solve the nurse scheduling problem based on the three shifts $(8$

A$.$M$.4$ P$.$M$.,4$ P$.$M$.12,128$ A$.$M$.)$ where the demand for nurses each day of the week $($Sun$,$

Mon, Tue, Wed, Thu, Fri, Sat$)$ is: $7,15,13,12,10,8,$ and $7.$ Each nurse works an $8-$hour shift,

with $5$ days on and $2$ consecutive days off. Your model should satisfy demand using the fewest

number of nurses