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Set of values of b for which local extre...

Set of values of b for which local extrema of the function f(x) are positive where `f(x)=(2)/(3)a^(2)x^(3)-(5a)/(2)x^(2)+3x+b` and maximum occurs at `x=(1)/(3)` is -

A

` - ( 4, oo)`

B

`( - ( 3)/( 8) , oo)`

C

`( - 10, ( 3)/( 8))`

D

None of these

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The correct Answer is:
B
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