arrival rate of passengers and of you know app opens and what I'm plotting here is this is the throughput I would get if regardless of what the you know for each value the system parameter I set the optimal static price okay this is the blue curve is what I get if I set the optimal strategy for static price believing that the exogenous rate of customer arrivals was mutant was a 4.0 but in fact it ended up being something different and so yeah right here obviously it's it's optimal but then it really degrades quickly as I move away