$($INTEGER MODEL$]$ Air$-$Expresshas to schedule workers to shifts to ensure that minimum total payment will be made to employees. Each worker must work S consecutive days and have $2$ consecutive days off. The wage depends on which days are off. Below, you can find the information on what wage will be paid to each worker depending on his$/$her shift and also the minimum number of employees required for each workday.ShiftDays OffWageDay of Week Workers Needed$181$Sun & Mon$$680$SundayMon & Tue$$705$Monday$273$Tue & WedTuesday$224$Wed & Thr$$705$Wednesday$265$$$705$Thursday$256$Thr & FriFri & Sat$$705$Friday$21$$$680$Saturday$197$Sat & Sun$$655($i$)$ Please formulate the employee scheduling problem as an IP model.$(1)$ Solve the integer program using excel solver