I'm curious if it's independent or a chain.
Here the Asian chain supermarkets are Lion, Ranch 99, and Marina, plus at least one independent (International Market in Union City).
My wife and others claim the best price and quality is from the small stores in San Francisco. The Asian chain supermarkets overall certainly aren't cheap on regular items (e.g. milk, juice, bread, cereal) -- the best place for those is Food Maxx. (And for beer and wine -- Trader Joe's)
Tony