For the reaction,$2A + B \to \text{products}$,when the concentrations of $A$ and $B$ both were doubled,the rate of the reaction increased from $0.3 \ mol \ L^{-1} \ s^{-1}$ to $2.4 \ mol \ L^{-1} \ s^{-1}$. When the concentration of $A$ alone is doubled,the rate increased from $0.3 \ mol \ L^{-1} \ s^{-1}$ to $0.6 \ mol \ L^{-1} \ s^{-1}$. Which one of the following statements is correct?

• A
  Total order of the reaction is $4$
• B
  Order of the reaction with respect to $B$ is $2$
• C
  Order of the reaction with respect to $B$ is $1$
• D
  Order of the reaction with respect to $A$ is $2$