Solve the Following LP Problem Graphically by Enumerating the Corner

question 52

Essay

Solve the following LP problem graphically by enumerating the corner points.
MAX: ^{2 X}₁ ^{+ 7 X}₂
Subject to: ^{5 X}₁ ^{+ 9 X}₂ ^{≤ 90}
9 X₁ + 8 X₂ ≤ 144
X₂ ≤ 8 X₁,X₂ ≥ 0

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Definitions:

Reflex

An unlearned, involuntary action or movement in response to a stimulus. A reflex occurs without conscious thought.

Cephalocaudal

A principle of development that describes growth and development that begins at the head and progresses downward towards the feet.

Proximodistal

A pattern of development where growth starts at the center of the body and moves towards the extremities.

Experience-Dependent

Brain functions that depend on particular, variable experiences and therefore may or may not develop in a particular infant.