Find the optimum value for each objective function given in Problems 47-51.

Maximize \(T=100 x+10 y\) subject to the constraints of Problem 36.

Data from problem 36

\(\left\{\begin{array}{l}x \geq 0 \\ y \geq 0 \\ 2 x+5 y \leq 20 \\ 2 x+y \leq 12\end{array}ight.\)