Solve this linear programming model..

Min: 40X+10Y

Subject to:

3X+Y

X+Y

X

Y >= 50

X,Y >= 0

\begin{tabular}{|c|} \hline Min: 40X+10Y \\ \hline Subject to: \\ \hline 3X+Y300 \\ \hlineX+Y200 \\ \hlineX100 \\ \hlineY50 \\ \hlineX,Y0 \\ \hline \end{tabular}