Consider the region given by x≤1, -x+y≥8, x+2y-z<3, x,y,z ≥ 0 (a) Formulate the problem using slack variables s₁ ≥0, s2 ≥ 0 and s3 ≥0. Write down the basic solution obtained by choosing the slack variables as pivots. Enter in the form (x, y, z, $1, $2, $3). (b) Is this a feasible solution True False (c) Write down the basic solution obtained by choosing z, s1, so as pivots. Enter in the form (x, y, z, s1, 52, 53) (d) Is this a feasible solution True False (e) Write down the basic solution obtained by choosing x, y, z as pivots. Enter in the form (x, y, z, 31, 32, 33) (f) Is this a feasible solution True False