Final answer:
France can produce approximately 5 slices of cheese if it decides to produce 16 bottles of milk, based on the given production possibilities. The opportunity cost of producing milk in terms of cheese is 2.5 slices of cheese per bottle of milk.
Step-by-step explanation:
In order to find out how many slices of cheese France can produce if it decides to produce 16 bottles of milk, we need to determine the opportunity cost of producing milk in terms of cheese. Given that France can produce 18 bottles of milk or 45 slices of cheese using 50 worker hours, we can calculate the opportunity cost per bottle of milk by dividing the number of slices of cheese by the number of bottles of milk:
- Opportunity cost of producing cheese = 45 slices of cheese / 18 bottles of milk = 2.5 slices of cheese per bottle of milk
So, for every bottle of milk that France decides to produce, it has to give up 2.5 slices of cheese. Now, if France decides to produce 16 bottles of milk, we can multiply this number by the quantity of milk to find out how many slices of cheese France will forgo:
- Slices of cheese forgone = 2.5 slices of cheese per bottle of milk * 16 bottles of milk = 40 slices of cheese
Therefore, if France decides to produce 16 bottles of milk, it will be able to produce 45 - 40 = 5 slices of cheese. Rounding this to the nearest whole number, France can produce approximately 5 slices of cheese.