How a price ceiling undermines the rationing function


Question:

I don't understand how a price ceiling undermines the rationing function of market determined prices. How could rationing coupons ensure that consumers with the highest values get the limited amount of a good supplied when government price ceilings create shortages? I believe that the answer is based upon demand, supply and market equilibrium.

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Microeconomics: How a price ceiling undermines the rationing function
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