Consider the following Sensitivity Report

$($a$)$ What is the value of the optimal OF of this problem?

$($b$)$ Is constraint $[2]$ binding?

$($c$)$ What would be the new optimal value for Z if we decrease the resource b $1,$ Raw Material, the RHS of

$[1],$ by $3$ units?

$($d$)$ If we decrease c$2($objective coefficient of x $2)$ by $100,$ what would be the new optimal solution in terms

of coordinates $($x$1*,$ x$2*)$ and Z$*?$

$($e$)$ We can increase c$1$ as much as we want, but the optimal Z$*$ won$$t change. T F