The Northside Bank is working to develop an efficient work schedule for full$-$time and part$-$time is open from $9$:$00$ A$.$M$.$ to $7$:$00$ P$.$M$.$ The number of tellers necessary to provide adequate custe Each full$-$time employee starts on the hour and works a $4-$hour shift, followed by a $1-$hour bre the bank $ $15$ per hour $($ $ $105$ a day$),$ and part$-$time employees cost the bank $ $8$ per hour $ $32($a$)$ Formulate an integer programming model that can be used to develop a schedule that wili number of part$-$time employees coming on duty at the beginning of hour f$.$ If your answer is zero enter $"0"$ and if the constant is $"1"$ it must be entered in the box. x $1,$ y j $>=0$ and integer for i$=9,10,11$ and j$=9,10,11,12,1,2,3($b$)$ Solve the LP Relaxation of your model in part $($a$).$ Enter the total cost value under the opt Total Cost: $ $($c$)$ Solve for the optimal schedule of tellers. Enter the total number of full$-$time and part$-$time If your answer is zero enter $"0".$ Total Number of Full$-$Time Employees: Total Number of Part$-$Time Employees: $($d$)$ After reviewing the solution to part $($c$),$ the bank manager realized that some additional re time employees. Revise your model to incorporate these additional requirements, and solv If required, round your answers to the nearest whole number. If your answer is zero enter Total Number of Full$-$Time Employees: Total Number of Part$-$Time Employees: Total Cost: &