Consider the region given byx?7,-x+y ? 5,x+2y-z? 9,x, y, z?0(a) Formulate the problem using slack variables s1 ? 0, s2 ? 0 and 83 ? 0. Write down the basic solution obtained by choosing the slack variables as pivots. Enter in the form (x, y, z, s1, s2, s3).(b) Is this a feasible solution?TrueFalse(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?TrueFalse(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?TrueFalse
