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

question 97

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), (33.3333, 8.3333), 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:

Upper Limbs

The parts of the human body extending from the shoulders to the hands, including the arms, forearms, wrists, and hands.

Sensory Information

Data received by sensory systems of the body, such as sight, sound, touch, taste, and smell.

Parietal Lobes

Regions of the brain located at the top and back of the head, involved in processing sensory information such as touch, temperature, and pain.

Central Nervous System

The Central Nervous System (CNS) comprises the brain and spinal cord, serving as the primary processing center for nervous system functions.