Final answer:
In the given scenario, each tray can produce 11 sandwiches.
Step-by-step explanation:
In the given scenario, 1 sandwich is made with 2 slices of bread and 1 slice of cheese. If there are 28 slices of bread and 11 slices of cheese, we can determine the number of sandwiches that can be made.
From the information provided, we can see that 11 sandwiches can be made using all the provided cheese. Since each sandwich requires 1 slice of cheese, the number of sandwiches will be equal to the number of cheese slices. Therefore, each tray can produce 11 sandwiches.