Solve the following problem under the constraints

minz$=3x_1+2x_2+6x_3$

$2x_1+x_2+3x_3=60$

$3x_1+3x_2+5x_{3}120$

$x_{1}0,x_{2}0,x_{3}0$ Using the big M method, develop the step$-$by$-$step simplex algorithm for

to solve the problem.

Use the IORTutorial software to find the solution.