Firefighters work a $24-$hour shift at Station $1$ in Edmond. Some start at noon daily, while others begin their shift at midnight. As shown in the following table, a minimum number of firefighters should be on duty for each of the half days.

$\backslash$table$[[,$Monday,Tuesday,Wednesday,Thursday,Friday,Saturday,Sunday$],[$Morning$,2,4,4,4,5,8,8],[$Afternoon$,3,4,4,4,8,8,6]]$

How many firefighters should report for work at noon on Tuesday if this problem is modeled using linear programming?

a$.3$

b$.2$

c$.1$

d$.0$