Please help with both parts of the question as they go together: a$.$ Model and solve the problem as described in the textbook to minimize the total staffing cost. What is the cost of this optimal solution? How many full$-$time employees are required in this solution? How many part$-$time employees are required? b$.$ Add constraints to insure that at least one full$-$time employee is on duty at all times and that the staff for this workday includes at least $5$ full$-$time employees. What is the cost of this optimal solution? How many full$-$time employees are required in this solution? How many part$-$time employees are required? $5.$ Bank Teller Scheduling. The Northside Bank is working to develop an efficient work schedule for full$-$time and part$-$time tellers. The schedule must provide for efficient operation of the bank, including adequate customer service, employee breaks, and so on$.$ On Fridays, the bank is open from $9$:$00$ a$.$m$.$ to $7$:$00$ p$.$m$.$ The number of tellers necessary to provide adequate customer service during each hour of operation is summarized as follows: Each full$-$time employee starts on the hour and works a $4-$hour shift, followed by a $1-$hour break and then a $3-$hour shift. Part$-$time employees work one $4-$hour shift beginning on the hour. Considering salary and fringe benefits, full$-$time employees cost the bank $\backslash (\backslash$$ $15\backslash )$ per hour $\backslash ((\backslash$$ $105\backslash )$ a day$),$ and part$-$time employees cost the bank $\backslash (\backslash$$ $8\backslash )$ per hour $(\backslash (\backslash$$ $2\backslash )$ per day$).$