The overall cost of living faced by low-income households (post-tax income <$50,000) in the most expensive city—San Jose, CA—is 49% higher than in the median commuting zone, Cleveland, and 99% higher than the most affordable commuting zone—Natchez, MS.
The three commuting zones with the lowest consumption of low income households are San Jose, CA; San Francisco, CA; and San Diego, CA, with consumption levels between 27% and 30% lower than the median commuting zone. At the other extreme of the spectrum, examples of commuting zones with high consumption of low-income households are Huntington, WV; Johnstown, PA; and Elizabeth City, NC, with consumption levels in real terms 22–23% higher than the median commuting zone. The range of consumption levels observed across U.S. communities is quite wide: Low-income families who live in the most affordable commuting zone enjoy a level of market-based consumption measured in real terms that is 74% higher that of families with the same income who live in the least affordable commuting zone.
The estimated coefficient implies that a middle-skill household moving from the median commuting zone (Cleveland) to the commuting zone with the highest price index (San Jose) would experience a 7.7% decline in their standard of living. Moving from the commuting zone with the lowest cost of living index (Natchez) to the commuting zone with the highest index would imply a decline in the standard of living by 12.7%.
As for high school dropouts:
Moving from Natchez to San Jose implies a 26.9% decline in the standard of living.
Here is the NBER working paper by Rebecca Diamond and Enrico Moretti