Write Down (Without Solving) the Dual Linear Programming Problem $C = 13 s + 35 t$

Multiple Choice

Write down (without solving) the dual linear programming problem. Minimize $C = 13 s + 35 t$ subject to the following. $$\begin{array} { l } 7 s - 3 t \geq 15 \\s + 4 t \geq 25 \\s \geq 0 , t \geq 0\end{array}$$

A) Maximize $P = 15 x + 25 y$ subject to the following. $$\begin{array} { l } 7 x + y \leq 13 \\- 3 x + 4 y \leq 35 \\x \leq 0 , y \leq 0\end{array}$$

B) Maximize $P = 15 x + 25 y$ subject to the following.
$$\begin{array} { l } 7 x + y \leq 13 \\3 x + 4 y \leq - 35 \\x \geq 0 , y \geq 0\end{array}$$

C) Maximize $P = 15 x + 25 y$ subject to the following.

$$\begin{array} { l } 7 x + y \geq 13 \\- 3 x + 4 y \geq 35 \\x \geq 0 , y \geq 0\end{array}$$

D) Maximize $P = 15 x + 25 y$ subject to the following.
$$\begin{array} { l } 7 x + y \leq 13 \\3 x + 4 y \leq 35 \\x \geq 0 , y \geq 0\end{array}$$

E) Maximize $P = 15 x + 25 y$ subject to the following.
$$\begin{array} { l } 7 x + y \leq 13 \\- 3 x + 4 y \leq 35 \\x \geq 0 , y \geq 0\end{array}$$