Final answer:
Roger can make a maximum of 11 sandwiches with the provided sandwich fillings.
Step-by-step explanation:
To calculate the number of sandwiches that Roger can make, we need to determine the limiting factor between the amount of cheese and the amount of turkey and beef. Given that 1 sandwich requires 1 slice of cheese and 2 slices of bread, and that 1.5 kilograms of turkey is approximately 3.3 pounds, and 1.25 kilograms of beef is approximately 2.8 pounds, we can convert the pounds of turkey and beef to slices of bread using the ratio of 1 pound to 14 slices of bread. By comparing the number of cheese slices and the converted number of bread slices, we can determine that Roger can make a maximum of 11 sandwiches with the provided ingredients.