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) $c = 225$ , $s = 10$ , $t = 10$ , $u = 10$

Question

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)   $c = 225$ , $s = 10$ , $t = 10$ , $u = 10$

Quizplus · Accepted Answer

The Answer is B

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