Solve the following questions using the simplex method. Question # 01: Objective function (z) Subject to; Question # 02: Objective function (z) Subject to; Max. 24g +8gz 291 +592 ≤ 10 491 +9₂ ≤ 20 10g₁ +59₂ ≤ 60 91.92 20 Min. 3y₁ +4y2 2y₁ + 3y₂ ≥ 36 2y1 + 2y₂ 2 28 8y₁ + 2y₂ ≥ 32 Y₁.Y2 ≥ 0 (1) (2) (3) (1) (2) (3) I Question # 03: Question # 04: Question # 05: Objective function (z) Subject to; Objective function (z) Subject to; Objective function (z) Subject to; Min. 120x₁60x2 3x₁ + x₂ 2 15 X₁ + 5x₂ 120 3x₂ + 2x₂ ≥ 24 X1, X₂ ≥ 0 Max. 45x, +55x₂ 6x₁ + 1x₂ ≤ 120 (1) 3x₁10x₂180 (2) X1, X₂ 20 Max. 3x₁ +4x2 2.5x₁ + x₂ ≤ 20 3x₂ + 3x₂ ≤ 30 X₁ + 2x₂ ≤ 16 X1, X₂ 20 (1) (2) (3) (1) (2) (3)