Consider the region given by x <= 1, x+y >= 8, -2x+y-z <=2 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, s1, s2, s3). ____
l(b) Is this a feasible solution? O True O False (c) Write down the basic solution obtained by choosing z, s1, s2 as pivots. Enter in the form (x, y, z, s1, s2, s3) _____ (d) Is this a feasible solution? O True O False (e) Write down the basic solution obtained by choosing x, y, z as pivots. Enter in the form (x, y, z, s1, s2, s3) _____
(f) Is this a feasible solution? O True O False