Final answer:
At time t=0, the switches are in position 1 based on the given time intervals for switch operation.
Step-by-step explanation:
The position of the switches at time t=0 can be determined based on the given operation schedule for the switches. According to the description, each switch is in position 1 for the time interval 0 ≤ t ≤ dts, and in position 2 for dts < t ≤ ts. Since t=0 falls within the first interval (0 ≤ t ≤ dts), initially, at t=0, the switches are in position 1.