I am designing an experiment which involves solving a linear system of equations of the form $Ax=b$. To do this, I am using the HHL algorithm on the IBMQ system. My experiment is scalable such that the size of matrix $A$ can be as large or small as I choose it to be. I would like to tailor the size of my matrix $A$ to be as large as possible but still within the computation limit of the quantum computer that I use. My suspicion is that to determine this I need to account for the quantum volume of the IBMQ machine that I use, but I do not understand exactly how.
Here is a little more information that may be useful. My experiment is adapted from the code in this HHL tutorial describing the general method to run the algorithm (section 4A). This means that I have not optimized the algorithm in any way. That being said, an example of the resource requirements for a modestly sized matrix $A$ for my experiment are as follows:
circuit_width: 11 circuit_depth: 101 CNOT gates: 54
My question is, how can I use these numbers to determine the quantum volume required to run my experiment?