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

question 25

Multiple Choice

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

• A) The points (100, 0) and (0, 25) both lie outside the feasible region.
• B) The two corner points are (33-1/3, 8-1/3) and (50, 0).
• C) The graphical origin (0, 0) is not in the feasible region.
• D) The feasible region is a straight line segment, not an area.
• E) All of the above are true.

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Definitions:

Sex Chromosomes

Chromosomes that determine the sex of an organism, typically one of two kinds: X and Y in mammals.

X Chromosome

One of the two sex chromosomes, playing a key role in determining genetic sex and involved in various genetic disorders.

Y Chromosome

A sex chromosome typically associated with male characteristics in species that have XY sex-determination systems, carrying genes important for male reproduction.

ABO Blood Group

A classification system for human blood based on the presence or absence of A and B antigens on the surface of red cells, which determines compatibility for blood transfusion.