Simulated Annealing on AWS Braket SDK & Boto3

Hello! I am new to AWS Braket services and still learn its workflow. I have a question about classical part execution. I have installed AWS Braket SDK and Boto3 to submit an algorithm's execution on DWave QPUs from my local environment (physical laptop). What does happen when I execute Simulated Annealing algorithms available in the DWave Ocean SDK alongside with its quantum counterpart? Is simulated annealing executed on a local environment (laptop) or is it submitted to AWS cloud? What if I want to execute quantum-classical algorithm, where is the classical part executed, locally or on cloud? If everything is submitted to AWS (including classical portion), how could I possibly find costs of classical computation service? Thank you in advance!