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

question 22

Multiple Choice

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

Z = 12x + 24y

Constraints:

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

• A)Maximum at (0, 5): 120
• B)Maximum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : 164
• C)No maximum
• D)Maximum at \(\left( \frac { 21 } { 2 } , 0 \right)\) : 126
• E)Maximum at (0, 0): 0

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Definitions:

Experimenter Bias

A form of bias introduced by the expectations, beliefs, or preferences of the researcher conducting an experiment which can affect the outcome.

Online Experiments

Research studies conducted over the internet, allowing for the collection of data from a broad geographic distribution of participants.

Diffusion

The method in which a new idea is shared across specific channels over a period among individuals within a social structure.

Internal Validity

The extent to which a research study accurately establishes a cause-effect relationship between the treatment and the observed outcome, minimizing the confounding variables.