FHL points out above how utterly ridiculous this is. The True Cost of a wage is what that wage is determined to be in the free market. Like anything else, as supply increases (of labor), demand falls and labor is cheaper.
Housing, food, etc, all have their own market forces balancing out the costs of them. If people cannot afford to live in San Francisco because minimum wage doesn't cover housing, food, etc, then they need to move to San Antonio where it does. Eventually, businesses paying minimum wage in San Fran won't be able to find labor and will have to raise the price of the wage.
Unless, of course, you don't want the free market to set labor and wage prices. But that wouldn't be you, right? I mean, you're a Libertarian!
hah...