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:

Neurofibrillary Tangles

Twisted masses of fibers within nerve cells, found in the brains of patients with neurodegenerative diseases such as Alzheimer's.

Alzheimer Disease

A progressive neurological disorder characterized by memory loss, cognitive decline, and personality changes, resulting from the degeneration of brain cells and neural connections.

Parkinson Disease

A neurological disorder characterized by tremors, stiffness, and slow movement, resulting from the loss of dopamine-producing brain cells.

Globus Pallidus

A subcortical structure within the brain involved in the regulation of voluntary movement.