We have an ice machine that produces ~400 lbs of ice in 24 hours. The rule of thumb is 2.5 to 3 pounds of ice per guest.
In general, you should purchase ice if your guest count is greater than 140.
Bottom line: Tell your catering and bartending staff the amount of ice available, and let them make a determination. Ice is inexpensive. If you have a bag or two left over, you can leave in freezer and pay it forward! A much better approach than running out!