We can understand BP spend depth by benchmarking it against an \(average\; daily\; monetization\;cap\). The core challenge with the pass is the relatively small spend cap. To start, consider a pass with a fixed entry cost,\(fc\), and \(N\) tiers at a given price \(y_i\). $$\\{total\;monetization\;cap}=\sum_{i=1}^N {(y_i)} +fc$$