Consider the following problem (First convert the problem to maximization Min. Z=2x1+3x2+x3 s.t.x1+4x2+2x33x1+2x2x1,x2,x3086 Select the correct answer for the following questions i. Construct the starting simplex table ii. Identify the initial artificial basic feasible solution iii.Identify the entering basic variable and the leaving basic variable Starting simblex table Initial artificial basic feasible solution: x1=0,x2=0,x3=0,a1=8,a2=6 Entering basic variable: x2 enters the basis Leaving basic variable: a1 leaves the basis Starting simplex table Initial artificial basic feasible solution: x1=0,x2=0,x3=0,a1=8,a2=6 Entering basic variable: x2 enters the basis Leaving basic variable: a1 leaves the basis Starting simplex table Initial artificial basic feasible solution: x1=0,x2=0,x3=0,a1=8,a2=6 Entering basic variable: x3 enters the basis Leaving basic variable: a1 leaves the basis Consider the following problem (First convert the problem to maximization Min. Z=2x1+3x2+x3 s.t.x1+4x2+2x33x1+2x2x1,x2,x3086 Select the correct answer for the following questions i. Construct the starting simplex table ii. Identify the initial artificial basic feasible solution iii.Identify the entering basic variable and the leaving basic variable Starting simblex table Initial artificial basic feasible solution: x1=0,x2=0,x3=0,a1=8,a2=6 Entering basic variable: x2 enters the basis Leaving basic variable: a1 leaves the basis Starting simplex table Initial artificial basic feasible solution: x1=0,x2=0,x3=0,a1=8,a2=6 Entering basic variable: x2 enters the basis Leaving basic variable: a1 leaves the basis Starting simplex table Initial artificial basic feasible solution: x1=0,x2=0,x3=0,a1=8,a2=6 Entering basic variable: x3 enters the basis Leaving basic variable: a1 leaves the basis