Deny rental application ?

[Sabina Hasan]

Can I sent a rental application to a tenant or another tenant offered me more rent ?

context- one family offered 2k and a single individual wants to negotiate to 1700. I am covering most of the utilities. 

Is it a legal reason if both tenants paid a $39 fee and put in application and I deny one of them because the other tenant is willing to pay more rent ?