I used ChatGPT to help talk through this with me:
> If the average waiter works a dinner shift from 5pm-11pm, waits on 40 customers during this shift, each customer has a check average of $40 and tips on average 20%, the waiter would walk with $320 in tips.
> In this example, the total cost of labor for the waiter is $55/hr for 6 hours, which is $55*6 = $330. The total number of customers served during the shift is 40.
> In order to eliminate the need for customers to tip, the restaurant would need to increase the cost of their food by $330 tips / 40 customers = $8.25 per check.
> Therefore, they would need to increase the cost of their food by $8.25, so that the check average would be $40 + $8.25 = $48.25 per check.