minimize: -x₁
subject to:
x₁ + x₂ <=4
2x₁ - x₂ = 2
-0.5 x₁ + x₂ >= 0.5
X>=0

Solution: Problem 1

Test: Problem 1

 

minimize: x₂ + x₃ + x₄ + x₅
subject to:
x₁ - 3x₃ + 2x₄ <=8
-2x₂ - 4x₄ + 3x₅ = 15
-2x₁ + 3x₂ - 6x₃ - 5x₅ <= -40
X>=0

Solution: Problem 2

Test: Problem 2

minimize: -x₂ - x₃
subject to:
x₂ + 2x₃ <=5
3x₁ - x₃ = 1
3x₁ - 4x₂ >= 0.5
X>=0

Solution Problem 3

Test: Problem 3

minimize: 0.2 x₁ + 0.5 x₂
subject to:
3x₁ - 2x₂ >=6
x₁ - 2x₂ <=4

Solution Problem 4

Test Problem 4

minimize:
-x₁ - x₂
subject to:
-0.5x₁ + x₂ <= 2
0.5x₁ + x₂ <=3
x₁ <= 3

Solution Problem 5

Test Problem 5