Final answer:
The theoretical minimum number of stations to balance the line is 1.
Step-by-step explanation:
To determine the theoretical minimum number of stations with which the line can be balanced based on a 10-minute cycle time, we can use the formula:
Minimum number of stations = (Total time per cycle)/(Cycle time per station)
In this case, the total time per cycle is 10 minutes. To balance the line, each station should take 10 minutes to complete their task. Therefore, the minimum number of stations is 1. The line can be balanced with just one station.