Solve the Standard Minimization Problem Using Duality If You Have Several Solutions, Select One of Them

Multiple Choice

Solve the standard minimization problem using duality. $$\begin{array} { l } \text { Minimize } ^ { c = 3 s + 3 t + 3 u } \\3 s + 2 t + u \geq 150 \\2 s + t + 3 u \geq 150 \\\text { subject to } s + 3 t + 2 u \geq 150 \\s \geq 0 , t \geq 0 , u \geq 0 \\\end{array}$$
If you have several solutions, select one of them.

A) $c = 90$ , $s = 37.5$ , $t = 0$ , $u = 37.5$
B) $c = 225$ , $s = 25$ , $t = 25$ , $u = 25$
C) $c = 135$ , $s = 15$ , $t = 15$ , $u = 15$
D) $c = 180$ , $s = 20$ , $t = 20$ , $u = 20$
E) $c = 225$ , $s = 10$ , $t = 10$ , $u = 10$