Consider the region given by x 7. -x+y5. x+2y-z9, x, y, z0 (a) Formulate the problem using slack variables 81 0, 82 0 and 83 0. Write down the basic solution obtained by choosing the slack variables as pivots. Enter in the form (x, y, z, 81, 82, 83). (b) Is this a feasible solution? O True False (c) Write down the basic solution obtained by choosing 2, 81, 82 as pivots. Enter in the form (x, y, z, 81, 82, 83) (d) Is this a feasible solution? O True False (e) Write down the basic solution obtained by choosing x, y, z as pivots. Enter in the form (x, y, z, 81, 82, 83) (f) Is this a feasible solution? O True O False