Find the Minimum Value of the Objective Function and Where

question 280

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 7y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + 3y ≤ 15
4x + y ≤ 16​ ​

• A)Minimum at (3, 4): 40
• B)Minimum at (0, 0): 0
• C)Minimum at (0, 5): 35
• D)Minimum at (4, 3): 37
• E)Minimum at (4, 0): 16

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Definitions:

Defensive Style

The characteristic manner in which an individual habitually copes with stress, threats, and conflicts, often through specific defense mechanisms.

Unconscious Defense Mechanisms

Tactics used by the subconscious mind to alter, deny, or twist reality to guard against anxiety and undesirable tendencies.

Denial

A defense mechanism where confrontation with a reality or fact is avoided by denying the existence of the problem or reality.

Sublimation

A psychological defense mechanism where socially unacceptable impulses are transformed into socially acceptable actions or behavior.