Solve the given linear programming problem. Show work by expressing the constraints as slack variable equations, writing the objective function in standard form, setting up the initial simplex tableau, circling the first pivot element, and giving the final tableau. Maximize: P =x 2y 3z subjectto: x 2y z 20 3x y 30 2x y z = 10 x0, y0, z0Solve the given linear programming problem. Show work by expressing the constraints as slack variable equations, writing the objective function in standard form, setting up the initial simplex tableau, circling the first pivot element, and giving the final tableau. Maximize: P =x 2y 3z subjectto: x 2y z 20 3x y 30 2x y z = 10 x0, y0, z0