Consider the following problem:

Max x₁² + 2x₂² + 2x₁ + x₂ - 20x₃

s.t. x₁ + x₂ x₃ 0

2x₁ + x₂ 100

x₁, x₂, x₃ 0

Which of the below solutions is optimal?

		(x1, x2, x3) = (100,100,0)
		(x1, x2, x3) = (0,100,-100)
		(x1, x2, x3) = (9,4.75,13.75)
		(x1, x2, x3) = (0,100,0)