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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