Find the Minimum Value of the Objective Function and Where

question 20

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

Grasp the significance of human capital in economic growth and productivity.

Understand the implications of investment and saving rates on a country's economic performance.

Analyze the impact of natural resources on economic development over time.

Familiarize with concepts related to economic catch-up, including the catch-up effect and its limitations.

---

Definitions:

Intentional Choices

Decisions made with mindfulness and deliberate thought, often aimed at achieving specific outcomes or living according to certain values.

Self-Care

The practice of taking action to preserve or improve one's own health, well-being, and happiness, particularly during periods of stress.

Vicarious Resiliency

The process by which therapists or caregivers experience personal growth and increased resilience through their empathic engagement with clients' trauma and recovery stories.

Affirming Thoughts

Positive statements or beliefs that reinforce one’s value, capabilities, or qualities, often used as a psychological tool for improving self-esteem.