Final answer:
There are no values for out_of_network and cost that would result in both messages being printed, because the conditions tested in the if-elif-else statement are mutually exclusive and once one condition is met, the other is no longer evaluated.
Step-by-step explanation:
The Python code provided is looking to determine whether a given medical expense should be approved based on whether the provider is out-of-network or in-network, and on the cost involved. According to the code, there are two conditions being checked using an if-elif-else statement. The first condition checks if the out_of_network variable is true and the cost is greater than 1000. The second condition checks if out_of_network is false (meaning in-network) and the cost is greater than 5000.
To answer the student's question, there are no values for out_of_network and cost that would cause both messages to be printed because the conditions are mutually exclusive due to the use of if-elif statements. Once a condition is met and a message is printed, the rest of the statements are skipped. Therefore, it is impossible for both messages to be printed at the same time.