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

question 20

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 in the feasible region.
• D) The feasible region is triangular in shape, bounded by (50, 0), (33-1/3, 8-1/3), and (100, 0).
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

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Definitions:

Glomerulus

A network of small blood vessels located in the kidney that performs the first step of filtering blood to form urine.

Renal Medulla

The inner region of the mammalian kidney. Compare with renal cortex.

Renal Pyramids

Cone-shaped structures located in the kidneys, composed of tubules that are essential for urine formation.

Bowman's Capsules

Cup-shaped structures in the kidneys that encase the glomeruli and initiate the process of blood filtration and urine formation.