For a complex reaction $\text{A}+\text{B}\to \text{C}$, the rate law is determined to be $\text{rate}=k[\text{A}][\text{B}{]}^2$. If the concentration of $\text{A}$ is doubled and $\text{B}$ is halved, what is the change in the rate of the reaction?

1. A.The rate remains unchanged
2. B.The rate becomes half of the original rate
3. C.The rate becomes double the original rate
4. D.The rate becomes one-fourth of the original rate