$1.[20$ Marks$]$ Consider the following linear optimization p roblem:

minimize

$,$

$+$

subject to $23>=2$

$+2>=4$

$1<=<=5,>=1\mathrm{.}5.$

a$)$ Use linprog to solve the above problem. Make sure to identify $$

$$

$,$

$$

$,$ and $=$

$+$

$$

$.$

b$)$ Which constraints are binding and which constraints are not binding at the optimal solution?