A Utility Function Is Given By $U = x _ { 1 } ^ { \frac { 2 } { 3 } } x _ { 2 } ^ { \frac { 1 } { 2 } }$

question 5

Multiple Choice

A utility function is given by $U = x _ { 1 } ^ { \frac { 2 } { 3 } } x _ { 2 } ^ { \frac { 1 } { 2 } }$ Find the value of x2 if the points, (64, 256) and (512, x2) lie on the same indifference curve.

• A)64
• B)4
• C)16
• D)256
• E)1024

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Definitions:

Therapeutic Abortion

An abortion carried out to preserve the health or life of the mother.

Voluntary Pregnancy

A pregnancy that occurs as a result of individuals choosing to conceive and carry a baby to term without external coercion.

Nontherapeutic Abortions

Abortions performed for reasons other than to preserve the health or life of the mother.

Therapeutic Abortions

Abortions performed for the purpose of preserving the health or life of the mother, often considered in the context of medical ethics and women's rights.