Answer:
There can be at most [tex]12[/tex] attendees in a corporate team-building event.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of attendees in a corporate team-building event.
Fixed cost = $19
Cost charged per attendee = $1
Budget for the corporate team-building event = $31
Therefore,
[tex]19+1(x)\leq 31\\19+x\leq 31\\x\leq 31-19\\x\leq 12[/tex]
So, there can be at most [tex]12[/tex] attendees in a corporate team-building event.