MaximizeZ=3x1+2x2+5x3Subjecttox1+2x2+x34303x1+2x3460x1+4x2420x1,x2,x30 The final (optimum) simplex table for the above problem is as given helow. where x6 is the slack variable corresponding to the third constraint (x1+4x2420). Answer the following. (a) Use post-optimality analysis to determine whether it would be advantageous to replace the existing resource capacities of 430,460 , and 420 by 300,800 , and 200 , respectively? (b) Find the range of objective function coefficient of x2 for which the current basis remains feasible/optimal