$A$ bacterium divides every $35$ minutes. If a culture containing $10^5$ cells per $ml$ is grown for $175$ minutes,what will be the cell concentration per $ml$ after $175$ minutes?

• A
  $5 \times 10^5$ cells per $ml$
• B
  $35 \times 10^5$ cells per $ml$
• C
  $32 \times 10^5$ cells per $ml$
• D
  $175 \times 10^5$ cells per $ml$