An Objective Function and a System of Linear Inequalities Representing

question 86

Multiple Choice

An objective function and a system of linear inequalities representing constraints are given. Graph the system of
inequalities representing the constraints. Find the value of the objective function at each corner of the graphed
region. Use these values to determine the maximum value of the objective function and the values of x and y for
which the maximum occurs.
C
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• A)maximum 32; at (3, 2)
• B)maximum 32; at (2, 3)
• C)maximum 52; at (4, 4)
• D)maximum 24; at (4, 0)

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Definitions:

Economic Interests

Economic interests refer to the financial stakes or investments individuals or entities have in certain outcomes or entities, influencing their decisions and actions.

Intentional Torts

Legal wrongs resulting from actions taken deliberately, intending to cause harm to another person, such as assault or defamation.

Comparative Negligence

A legal principle where damages are apportioned according to the degree of fault of each party in a lawsuit involving negligence.

Contributory Negligence

A defense to negligence whereby the defendant can escape all liability by proving that the plaintiff failed to act in a way that would protect him or her from an unreasonable risk of harm and that the plaintiff’s negligent behavior contributed in some way to the plaintiff’s accident.