Patrick Towers$-$Palace and Associates is a law firm that handles different cases in Europe. The CEO and founder, Dr$.$ Patrick Towers$-$Palace, has decided to open a new office. Currently, the company includes the following

Office Monthly Number of Cases

London $50$

Paris $45$

Rome $70$

As an expert in Operations Management, Dr$.$ Patrick Towers$-$Palace hired you to recommend where would the OPTIMAL place for a new office in Europe would be$.$ What would the Y coordinate for the new office be$?($enter your answer with two decimals$)$