Eric, that question is assuming that you have 100% one system or another, not a combination of actions. If that were accurate then Iaccoca couldn't have used the Government to bail out Chrysler. So YES, a large bank is expected to turn a profit and in fact keep the market growing, it is in the countries best interest.

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"promote the general welfare, not provide the general welfare"

We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.