The Living Wage Calculator, developed by Professor Amy Glasmeier of MIT, examines this question. Esri has map-enabled the Calculator data, revealing regional patterns. You can explore wage gaps for counties and top metro areas, and toggle between three different family scenarios.
[The] Calculator estimates the cost of living (“living wage”) in each of the nation’s counties and major metropolitan areas, and compares it to the minimum wage for a variety of household types.
Direct to Living Wage Calculator Web Site (via MIT.edu)
Access all resources, methodology, etc.