The Linear Programming Problem Has an Unusual Characteristic

question 204

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. ​
Z = 3x + 4y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤1
3x + y ≤ 6
​

• A)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (1, 1): 7
• B)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (1, 0): 3
• C)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (0, 1): 4
• D)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (0, 0): 0
• E)​ The constraint 3x + y ≤ 6 is extraneous. No maximum.

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Web-Based Surveys

Surveys distributed and completed over the internet, allowing for easier data collection and broader participant reach.

Generalizable

The extent to which research findings from a study can be applied to broader populations or different contexts.

Friends Recommend

The process of suggesting services, products, or behaviors to others based on personal experience or satisfaction.

Random Sampling

A technique for selecting a sample of participants for a study where each member of the population has an equal chance of being chosen.