The Linear Programming Problem Has an Unusual Characteristic

question 24

Multiple Choice

The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the maximum value of the objective function (if possible) and where it occurs. ​
Objective function:
​
Z = x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
-x + y ≤ 1
-x + 5y ≤ 7
​

• A) Maximum at (0.5, 1.5): 2
• B) The region determined by the constraints is unbounded. For this unbounded region, there is no maximum value of z.
• C) Maximum at (0, 1): 1
• D) Maximum at (0, 0): 0
• E) Maximum at (1.5, 0.5): 2

Explore the impact of major personality traits (e.g., agreeableness, extraversion) on health and longevity.

Understand the historical context and implications of the Terman study and its findings.

Analyze the role of personality factors in physical health and immune system functioning.

Differentiate between beneficial psychological practices (e.g., journaling) and harmful ones (e.g., rumination).

---

Definitions:

Close Friends

Relationships characterized by a high degree of trust, intimacy, and mutual respect, often formed through shared experiences over time.

Need to Belong

The need to belong is a fundamental human motivation to form and maintain strong, stable interpersonal relationships.

Trait Self-control

The personality characteristic that involves the ability to regulate one’s thoughts, feelings, and behaviors to achieve long-term goals.

Universal

Applicable everywhere or in all cases; general or widespread in nature.