Find the Minimum Value of the Objective Function and Where $\ge$

question 197

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the constraints:
Objective function:

Z = 8x + y

Constraints:

X $\ge$ 0
Y $\ge$ 0
X + 4y $\le$ 20
X + y $\le$ 18
2x + 2y $\le$ 21

• A)Minimum at (0, 0): 0
• B)Minimum at (5, 0): 40
• C)Minimum at \(\left( \frac { 21 } { 2 } , 0 \right)\) : 84
• D)Minimum at (18, 0): 144
• E)No minimum

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Definitions:

Parochialism

Parochialism assumes the ways of your culture are the only ways of doing things.

Reflective Reasoning

A cognitive process involving active and careful consideration of beliefs or knowledge in light of evidence or arguments.

Cross-Cultural Communication

The process of recognizing and understanding the differences and similarities in communication that occur across different cultures.

Language Differences

Pertains to the variability in language use across cultures, regions, or social groups, affecting communication and understanding.