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Consider the Following Linear Programming Problem

question 88

Essay

Consider the following linear programming problem:
MIN Z =    3x1 + 2x2
Subject to:    2x1 + 3x2 ? 12
    5x1 + 8x2 ? 37
    x1, x2 ? 0
At the optimal solution point, the objective function value is 18. If the constraints are changed from greater than to less than constraints and the objective function is changed from minimize to maximize, what happens to the optimal solution? Demonstrate whether it falls at the same optimal point.


Definitions:

Retinal Detachment

A serious condition where the retina pulls away from its normal position.

Intraocular Pressure

The fluid pressure inside the eye, critical in maintaining eye structure and proper vision.

Glaucoma

a group of eye conditions causing optic nerve damage, often associated with increased intraocular pressure, leading to vision loss.

Photophobia

An abnormal sensitivity to light, causing discomfort or pain in the eyes when exposed to light.

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