A Linear Programming Problem Has Two Constraints 2X + 4Y

question 32

Multiple Choice

A linear programming problem has two constraints 2X + 4Y ≤ 100 and 1X + 8Y ≤ 100, plus nonnegativity constraints on X and Y. Which of the following statements about its feasible region is true?

• A) There are four corner points including (50, 0) and (0, 12.5).
• B) The two corner points are (0, 0) and (50, 12.5).
• C) The graphical origin (0, 0) is not in the feasible region.
• D) The feasible region includes all points that satisfy one constraint, the other, or both.
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

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Definitions:

Knowledge Power

The influence and control gained through the possession or access to information and expertise.

Expert Power

The influence and authority someone holds as a result of their expertise, skills, or knowledge in a specific area.

Unbiased Way

An approach or method that is fair and impartial, not favoring one side or outcome over another, often important in research, reporting, and decision-making processes.

Coercive Power

The ability to compel or force someone to do something through threats or pressure.