A coding supervisor must determine the number of full-time equivalents (FTEs) needed to code 500 discharges per week. If it takes an average of 20 minutes to code each record and each coder works 7.5 productive hours per day, how many FTEs will the coding supervisor need?

To determine the number of FTEs needed, we need to calculate the total number of productive hours required to code 500 discharges and then divide it by the number of productive hours per coder per day.

First, let's calculate the total number of minutes required to code 500 discharges:

Total minutes required = Number of discharges * Coding time per discharge
Total minutes required = 500 * 20 = 10,000 minutes

Next, let's convert the total minutes required into productive hours:

Total productive hours required = Total minutes required / 60 minutes
Total productive hours required = 10,000 / 60 = 166.67 hours

Since each coder works 7.5 productive hours per day:

FTEs needed = Total productive hours required / Daily productive hours per coder
FTEs needed = 166.67 / 7.5 = 22.22

Therefore, the coding supervisor will need approximately 22.22 full-time equivalents (FTEs) to code 500 discharges per week.