(5.1-3. Consider the following problem.
Maximize Z = 5x₁ + 8x2, 4x1 + 2x₂ 80 -3x₁ + x₂ = 4 -X₁ + 2x₂ = 20 4x₁x₂40 = and x₁ ≥ 0, X₂ ≥ 0. (b) Develop a table giving each of the CPF solutions and the cor- responding defining equations, BF solution, and nonbasic vari- ables. Calculate Z for each of these solutions, and use just this information to identify the optimal solution. (c) Develop the corresponding table for the corner-point infeasi- ble solutions, etc. Also identify the sets of defining equations and nonbasic variables that do not yield a solution