Find the Dual of the Following Problem:
PRIMAL:
Max $2 X_{1}+4 X_{2}+5 X_{3}$

Essay

Find the dual of the following problem:
PRIMAL:
Max: $2 X_{1}+4 X_{2}+5 X_{3}$
Subject to:
$$\begin{array}{rrr}2 X_{1}+5 X_{2}+3 X_{3} \geq 3.0 \quad 2 X_{1}+4 X_{2}+1 X_{3} \leq 50 \quad 3 X_{1}+4 X_{2}+2 X_{3}=20 & X_{1} \geq 0 \\& X_{2} \geq 0 \\& X_{3} \geq 0\end{array}$$