Find the Maximum Value of the Objective Function and Where $\left( \frac { 22 } { 3 } , 0 \right)$

question 28

Multiple Choice

Find the maximum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = 8x + 9y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
?

• A)Maximum at \(\left( \frac { 22 } { 3 } , 0 \right)\) : \(\frac { 176 } { 3 }\)
• B)Maximum at (0,0): 0
• C)Maximum at \(\left( 0 , \frac { 19 } { 6 } \right)\) : \(\frac { 57 } { 2 }\)
• D)Maximum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : \[\frac { 523 } { 6 }\]
• E)No maximum

Understand the concept of POSSLQs and the varieties of cohabitation arrangements.

Comprehend factors influencing trends in marriage and cohabitation within various cultural and demographic groups.

Identify and explain the reasons behind the increase in cohabitation rates since 1960.

Analyze the distinctions between different types of cohabitation and their outcomes.

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Definitions:

Psychosexual Stages

A series of stages through which the sexual instinct develops; each stage is defined by an erogenous zone around which conflict arises.

Oral Stage

In Freudian psychoanalytic theory, the first stage of psychosexual development, where the mouth is the primary source of gratification.

Infancy

The period in human development from birth to the age of two, characterized by rapid physical growth and cognitive development.

Fixated

A psychological term referring to an obsessive interest or focus on a particular object, activity, or stage of development.