Consider the following linear programming model

Where, I ? c: ? 3, 4 ? c ₂ , ? 6, -1 ? a ₁₁ ? 3, 2 ? a ₁₂ ? 5, 8 ? b ₁ ? 12, 2 ? a ₂₁ ? 5, 4 ? a ₂₂ ? 6, 10 ? b ₂ ? 14.

Apply linear programming models to determine the lower bound and upper bounds of the optimal objective value. You should articulate how you can get the lower and upper bounds of the objective value.

max 2 = cx + CX [ax + x b s.t. + b xy, X 20