Consider the following scenario.

To determine the possible outputs for the cost function \( C = 50x \), where \( x \) is the number of participants, we first note that \( x \) must be a non-negative integer (since you cannot have a negative number of participants).

The cost \( C \) will be calculated as follows:

• If \( x = 0 \), \( C = 50(0) = 0 \)
• If \( x = 1 \), \( C = 50(1) = 50 \)
• If \( x = 2 \), \( C = 50(2) = 100 \)
• If \( x = 3 \), \( C = 50(3) = 150 \)
• If \( x = 4 \), \( C = 50(4) = 200 \)
• If \( x = 5 \), \( C = 50(5) = 250 \)
• And so on...

From this, we see that the outputs (costs) will be in increments of 50 starting from 0.

Now, examining the potential outputs provided:

• 150: This is valid since \( C = 50(3) \).
• 50: This is valid since \( C = 50(1) \).
• 0: This is valid since \( C = 50(0) \).
• 210: This is not valid since 210 is not a multiple of 50.
• 80: This is not valid since 80 is not a multiple of 50.

Thus, the possible outputs (range values) from the given options are:

• 150
• 50
• 0

So, the selected outputs are 150, 50, and 0.