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U=Suppose an individual has income

`I=600`

and she can spend her income either on good

`x`

or

`Y`

. The price of

`x(P_(x))`

is 3 and the price of

`Y(P_(Y))`

is 2 .

`13`

a. What would be her optimal choice and utility if her utility

`U=x_(4)^(4)Y_(-)^(4)`

b. What would be her optimal choice and utility if her utility

`U=4x+3Y`

c. What would be her optimal choice and utility if her utility

`U=min[3x,4Y]`