Find the Maximum Value of the Objective Function and Where

question 38

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 3y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤ 4​
​​ ​

• A)Maximum at (4, 0): 17
• B)Maximum at (0, 4): 12
• C)Maximum at (0, 0): 0
• D)Maximum at (4, 0): 16
• E)Maximum at (0, 4): 13

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Definitions:

Test-Retest Reliability

A measure of consistency where a test is repeated on the same subjects at different times to assess the similarity of outcomes.

Measure

A tool or method used to determine the quantity, degree, or capacity of an attribute or phenomenon.

Descriptive Statistics

Statistical methods that summarize and organize the characteristics of a set of data, using measures such as mean, median, mode, and standard deviation.

Researcher

An individual who conducts scientific studies in order to advance knowledge in a particular field, often through experiments, observations, and data analysis.