Consider the following problem and its optimal Simplex table: Maximize Z=x17x2 + 3x3, subject to 2x1 + x2 x3 4 (resource 1) 4x1 - 3x2 2 (resource 2) -3x1 + 2x2 + x3 3 (resource 3) and x2 0, X3 0. Bas Eq Var No Coefficient of Right N X1 X2 X3 X4 5 X6 Side N 1000 012 0 5.5 0 0 2.5 3 14 0 2.25 0 1 0.25 1 7.5 1 -0.75 0 0.25 0 0.5 X3 30 0 -0.25 1 0 0.75 1 4.5 a) Manually identify the dual price for each resource, the allowable range to stay optimal for each objective function coefficient, and the allowable range to stay feasible for each right- hand side. b) Use Excel Solver to verify your answers.