Solve the following problems in matlab. Find the optimal value, and a point where the optimal value is achieved if an optimal solution exists. If an optimal solution exists, find an optimal solution to the associated dual problem and verify that they are the same. Please include a screenshot of your matlab code and output. Thank you!

maximize $2x_1+3x_2+4x_3$ subject to

$-2x_2-3x_3-5$

$x_1+x_2+2x_{3}4$

$x_1+2x_2+3x_{3}7$

$x_1,x_2,x_{3}0$