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An industry is made up of $10$ firms which each have the same market share. Which of the following are the industry's concentration ratio and Herfindahl Index, respectively?

A

$100$ and $400$

B

$40$ and $400$

C

$10$ and $100$

D

$100$ and $1{,}000$

E

$40$ and $1{,}000$

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