To calculate how much the insurer pays and how much the beneficiary pays, we'll need to follow the given information.
The radiology firm charges $3,500 per exam, but the insurer's allowed fee is 80% of the charges. So, the allowed fee would be 80% of $3,500, which is $2,800.
Now, the beneficiary pays 25% of the allowed fee. To find out how much they pay, we can calculate 25% of $2,800, which is $700.
Therefore, the insurer pays the remaining amount, which is the allowed fee minus the beneficiary's payment. In this case, the insurer pays $2,800 - $700, which is $2,100.
So, the insurer pays $2,100 and the beneficiary pays $700.
