We have Taxi's but no taxi company, that I have found , notta match. It must be a distance to take a taxi.
That taxi has me stumped also. I've looked at all the taxi companies listed on the Interlaken tourist information site, and none of them are even close.
They tend to have much smaller signs, and none of them match the colour of the van, or Logo anyway.
From what we can see in the picture below we can see the beginning of a Company name or Logo starting with P, the word Airport, a word in large letters that could be JUNGFRAU, and in smaller letters EN and TO. Lots of words in German end in en, but it could quite possibly be "Interlaken Tourismus", or "Interlaken Tours"
I don't know how much input WRP could have had in organising enough Taxis to be waiting at the station*, so I've searched the airport shuttles going to both Bern and Zurich airports, and I've also searched various mini-van Tours, and hotel transportation in the Interlaken region. So far, nothing.
*Most Tourist information suggests that the majority of tourist destinations in the area can be reached by either foot or public transport, so it may not be common for 11 taxi's to be hailed from the railway station within such a short period of time, and if they are being used all the way to the pitstop, which seems to be probable if they still have the taxi at the cheese task, then it would be a major disadvantage if the trailing teams had to wait at the station for any length of time just because of a taxi shortage.
ETA (The Stechelberg Taxis aren't a match either)