Find the minimum value as well as the point at which the minimum occurs of L = 2x₁10x2 +27x3 +50x4 +32x5 subject to the constraints x₁ + 2x₂ + x3 + 1x4 + 2x5 ≤ 6, x₂ + 2x3 +7x4-3x5 ≤ 6, 2x2 + x3 + 1x4 - 2x5 ≤ 4, 6x₁ + x2 + x3 + x5 ≤ 16, -2x3+4x4 +9x5 ≤ 30, 1, 2, 3, 4, 5 > 0.
