Identify the compounds $A$,$B$,and $C$ in the following reaction sequence:
$CH_3-Br$ $\xrightarrow{Mg, \text{Ether}} [A]$ $\xrightarrow[(ii) \text{Water}]{(i) CO_2} [B]$ $\xrightarrow{CH_3OH, H^+} [C]$

• A
  $A = CH_3MgBr, B = CH_3COOH, C = CH_3COOCH_3$
• B
  $A = CH_3MgBr, B = CH_3CH_2OH, C = CH_3COOCH_3$
• C
  $A = CH_3CH_3, B = CH_3COOH, C = CH_3COOCH_3$
• D
  $A = CH_3MgBr, B = CH_3COOH, C = CH_3COCH_3$