Yup.
It looks Whirlpool, or at least Whirlpool made to me. My family had a 1986 BOL Whirlpool DW for just over 10 years (this one looks a good bit older). Ours had the white plastic interior with turquoise racks. It had a permanent wash tower affixed to the lower rack which sprayed water up to a plastic wash arm on the underside of the upper rack. Its silverware rack, however, was in the bottom rack without any provision for attaching it to the door. This was the only Whirlpool DW I have ever used that could reliably clean silverware. This DW's interior looks a lot like ours, although ours had identical soap dispensers on the right side of the door, not the left. The vents were the same and even the bump behind the timer is the same. It cleaned better than expected for a BOL model, but not wonderful. The Maytag that replaced it is FAR better.
The builder of our house (Pulte, from hell) had all BOL Whirlpool appliances. The stove was interesting, however. I think it was actually a Caloric designed piece, but it was badged Whirlpool. It was a gas stove with the main self cleaning oven below and a smaller non-self-cleaning oven above. That was a great stove!
Memories,
Dave