Which of the following constraints is not linear?Group of answer choices2A − 2B ≤ 30Z + 3Z = 95X + 8Y ≥ 502XY + X ≥ 12
Question
Which of the following constraints is not linear?
Group of answer choices
2A − 2B ≤ 30Z + 3Z = 95X + 8Y ≥ 502XY + X ≥ 12
Solution
The correct answer is "2XY + X ≥ 12."
Explanation:
A linear constraint is one in which each variable is only raised to the power of 1 and is not multiplied by any other variables.
In the constraint "2XY + X ≥ 12", the term "2XY" involves the multiplication of two variables, X and Y. This makes the constraint nonlinear.
The other constraints "2A − 2B ≤ 30", "Z + 3Z = 95", and "X + 8Y ≥ 50" are all linear because each variable is raised to the power of 1 and is not multiplied by any other variables.
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