One of the prominent supermarket chains that used to offer laundry services is Kroger, under their subsidiary brand called "Kroger Express." They provided laundry facilities with washers and dryers in some of their stores. The cost per load/wash cycle would vary depending on the location, but it might be in the range of $2 to $5 per load.
Other supermarket chains, such as Publix and Hy-Vee, have also experimented with offering laundry services in select locations.
It's important to remember that laundry services at supermarkets are not as widespread as traditional laundromats or dedicated laundry facilities, so availability can be limited.
For the most accurate and up-to-date information on laundry services at specific supermarket locations and their associated costs, I recommend checking with the supermarkets directly or visiting their official websites. Keep in mind that the availability of laundry services can also vary based on the region and local market conditions.