Find the Maximum Value of the Objective Function and Where

question 10

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 5y
​
Constraints:
​
X ≥ 0
​3x - y ≤ 9
2x + 3y ≥ 6
X + 4y ≤ 16
​​ ​

• A)Maximum at (3, 0): 12
• B)Maximum at (3, 4): 32
• C)Maximum at (4, 3): 31
• D)Maximum at (0, 4): 20
• E)Maximum at (0, 2): 10

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Definitions:

Dependent Variable

In an experimental setting, the variable being tested and measured, which is expected to change under the influence of the independent variable.

Independent Variable

In an experimental setting, this is the variable that is manipulated or changed by the researcher to observe its effect on the dependent variable.

Sample

Group of subjects selected from a larger population of subjects, usually selected randomly.

Population

In statistics and research, the entire group of individuals or instances about whom the information is desired; in biology, all the organisms of the same group or species living in a particular geographic area.