Solve the Standard Minimization Problem Using Duality $C = 18 s + 29 t$

Multiple Choice

Solve the standard minimization problem using duality.
Minimize $C = 18 s + 29 t$
Subject to $$\begin{array} { l } 3 s + 2 t \geq 60 \\6 s + 3 t \geq 60 \\s \geq 0 , t \geq 0\end{array}$$

A) $C = 360$ , $s = 20$ , $t = 0$
B) $C = 580$ , $s = 0$ , $t = 20$
C) $C = 290$ , $s = 0$ , $t = 10$
D) $C = 180$ , $s = 10$ , $t = 0$
E) $C = 650$ , $s = 20$ , $t = 10$