The Linear Programming Problem Has an Unusual Characteristic $\ge$ 0
Y $\ge$

question 242

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 minimum value of the objective function (if possible) and where it occurs.
Objective function:

Z = 2.5x + y

Constraints:

X $\ge$ 0
Y $\ge$ 0
3x + 5y $\le$ 15
5x + 2y $\le$ 10

• A) Minimum at (0, 0): 0
• B) Minimum at \(\left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right)\) : 5.00
• C) Minimum at \(\left( \frac { 20 } { 19 } , 0 \right)\) : 2.63
• D) No minimum
• E) Minimum at \(\left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right)\) : 6.97

Recognize the role of societal and economic structures in shaping domestic labour and caregiving responsibilities.

Examine the definitions and formations of family in sociological terms.

Analyze the concept and examples of role strain within family and work contexts.

Understand the socio-economic factors contributing to the “sandwich” generation phenomenon.

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Definitions:

Ethical Lapses

Situations where individuals or organizations fail to act in accordance with moral principles or standards, leading to misconduct or unethical behavior.

Turnover

The process by which an organization's workforce is renewed through the departure and replacement of employees.

Empowering Leadership

A leadership style that emphasizes the enhancement of employees' intrinsic motivation, confidence, and capability to achieve work-related goals.

Psychological Capital

A concept in positive psychology that focuses on an individual's positive psychological state, characterized by self-efficacy, optimism, hope, and resilience.