Which of the following represents a valid constraint in linear programming? A)2X ≥ 7XY B)(2X)(7Y)≥ 500 C)2X + 7Y ≥100 D)2X² + 7Y ≥ 50 E)All of the above are valid linear programming constraints.

Question

Quizplus · Accepted Answer

A valid constraint in linear programming must be a linear inequality or equation. Choice C represents a linear inequality with coefficients of X and Y that are both positive integers, making it a valid constraint. Choice A is not linear because it contains a product of X and Y. Choice B and D are not linear because they contain non-linear terms such as square terms and "S" terms. Therefore, the correct answer is C.

Which of the Following Represents a Valid Constraint in Linear