Select the Region Determined by the Constraints

question 44

Multiple Choice

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 3x + 2y
​
Constraints:
​
X ≥ 0
​y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10
​
​

• A) Maximum at (0,10): 20
• B) Maximum at (2,0): 6
• C)​ Maximum at (10,0): 13
• D)​ Maximum at (0,4): 7
• E)​ Maximum at (4,0): 12

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Definitions:

Misuse of Power

The inappropriate, unjust, or unethical exercise of authority or control by an individual or group over others.

Multiple Relationships

Situations in which a professional or therapist has more than one type of relationship with a client or patient, raising concerns about conflict of interest and ethics.

Power Differential

The difference in power or authority between two individuals or groups, often impacting interactions and outcomes.

Managing Boundaries

The practice of establishing and maintaining clear limits in professional and personal relationships.