$($d$)$ After reviewing the solution to part $($c$),$ the bank manager realized that some additional requirements must be specified. Specifically, she wants to ensure that one full$-$time employee is on duty at all times and that there is a staff of at least five full$-$time employees on Fridays. Revise your model to incorporate these additional requirements.

In addition to the constraints from part $($a$),$ what additional constraints should be added to the integer programming model?

Full$-$Time during $9$:$00$ a$.$m$.-10$:$00$ a$.$m$.$

Full$-$Time during $10$:$00$ a$.$m$.-11$:$00$ a$.$m$.$

Full$-$Time during $11$:$00$ a$.$m$.-$ Noon

Full$-$Time during Noon $-1$:$00$ p$.$m$.$

Full$-$Time during $1$:$00$ p$.$m$.-2$:$00$ p$.$m$.$

Full$-$Time during $2$:$00$ p$.$m$.-3$:$00$ p$.$m$.$

Full$-$Time during $3$:$00$ p$.$m$.-4$:$00$ p$.$m$.$

Full$-$Time during $4$:$00$ p$.$m$.-5$:$00$ p$.$m$.$

Full$-$Time during $5$:$00$ p$.$m$.-6$:$00$ p$.$m$.$

Full$-$Time during $6$:$00$ p$.$m$.-7$:$00$ p$.$m$.$

Total Full$-$Time Employees

Solve for the optimal solution,

Solving for the optimal schedule tells us to use a total of per day. full$-$time employees and part$-$time employees at a cost of $