The variables $a$ and $b$ are non-zero integers. If $a = 2b^3/c,$ what happens to $c$ when $a$ is halved and

The variables $a$ and $b$ are non-zero integers. If $a = \dfrac{2b^3}{c},$ what happens to $c$ when $a$ is halved and $b$ is doubled?

A. $c$ is not changed
B. $c$ is halved
C. $c$ is doubled
D. $c$ is multiplied by $4$
E. $c$ is multiplied by $16$

The OA is E

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