Also please try to go into as much detail possible describing which applications you would install on the servers and why. Also detail the hardware configurations you would choose. Feel free to lookup information on the internet to help you solve this scenario.
Question: The new server farm is online and the increase in performance has allowed for additional growth. However soon the growth in traffic starts to overwhelm the database. In the evening the database becomes very unresponsive and often it rejects new connections with 'Too many connections'. Please let me know , how would you analyze and solve this problem? Can you please try to come up with a solution that allows for further growth. Additional machines are not an option
I would contact a provider that deals with this sort of situation - I know that ServerBeach and SoftLayer both have a decent amount of experience when dealing with this sort of thing so you should probably contact them with your queries directly.