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

question 297

Multiple Choice

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

Z = x + 4y

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 (0, 5): 20
• C)Minimum at (0, 18): 72
• D)Minimum at \(\left( 0 , \frac { 21 } { 2 } \right) : 42\)
• E)No minimum

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Definitions:

Mean Score

The arithmetic average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

Stanford-Binet

A standardized test that assesses intelligence and cognitive abilities in individuals, originally developed to measure intelligence in children.

Cohort Effect

Differences among groups of individuals that arise from being born and living in different time periods, affecting their beliefs, behaviors, and attitudes.

Flynn Effect

The phenomenon that describes the gradual increase in the intelligence quotient scores of populations over time, suggesting changes in environmental factors.