Why will individual necessarily choose the public housing


Problem

An individual is faced with a choice of buying housing in one of two markets; the private market where he may buy any amount of housing he pleases at the going price, and the public housing market where he will be offered, on a take-it-or-leave-it-basis, a particular amount of housing at a price lower than that which he would pay for it on the private market. Will he necessarily choose the public housing? If so, may we conclude that he will consume more housing than he would have purchased had he been forced to buy it on the private market?

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Microeconomics: Why will individual necessarily choose the public housing
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