When the price of product X falls 50%, the demanded quantity increases 100%. The price elasticity of demand for product X is 2.
Price elasticity of demand measures how sensitive the change in demanded quantity to the change in price.
price elasticity of demand = % change in quantity / % change in price
Data from the problem:
% change in demanded quantity = (100 - 50) / 50 x 100% = 100%
% change in price = (10 - 20)/20 x 100% = 50%
Hence,
price elasticity of demand = 100% / 50% = 2
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