maximized.

S$5)$ A warehouse has a $24$ hour operations and its workers can start their work at midnight

$(00\mathrm{.}00H),$ or at $4$:$00$ am or at $8$:$00am$ or at noon $(12$:$00),$ or at $4$:$00pm$ or at $8$:$00pm$ and

continue working for $8$ consecutive hours. $($E$.$g$,$ if a worker starts at $4$:$00$ am$,$ then she will

leave the warehouse at noon, a worker that starts working at $12$:$00$ noon will leave work at

$8$:$00$ pm$)$ Assume that workers do work $7$ days a week and are paid the same amount

regardless of their work start time. The following table is the warehouse's need of

employees at different time periods of the day.

A$)$ Define the decision variables

B$)$ Write down the mathematical model to optimize $($minimizes$)$ the number of optimum

workers