Solve the Standard Minimization Problem Using Duality A) $c = 800$

Solve the standard minimization problem using duality. $$\begin{array} { l } \text { Minimize } & { c = 8 s + 7 t + 8 u } \\&s + t + u \geq 100 \\&2 s + t \geq 50 \\\text { subject to } &t + u \geq 50 \\&s \geq 0 , t \geq 0 , u \geq 0 \\\end{array}$$

A) $c = 800$ , $s = 100$ , $t = 0$ , $u = 0$
B) $c = 800$ , $s = 0$ , $t = 0$ , $u = 100$
C) $c = 700$ , $s = 0$ , $t = 100$ , $u = 0$
D) $c = 350$ , $s = 0$ , $t = 50$ , $u = 0$
E) $c = 400$ , $s = 50$ , $t = 0$ , $u = 0$