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Suppose the price elasticity of demand of alcohol is -2, the cross-price elasticity of demand between...

Suppose the price elasticity of demand of alcohol is -2, the cross-price elasticity of demand between alcohol and the price of marijuana is -0.5, and the price of marijuana has increased by 10% because of the drug busts. What would have to happen to the price of alcohol to exactly offset the rise in the price of marijuana and leave the quantity demanded of alcohol unchanged?
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Answer #1

percent change in alcohol demand/percent change in price of marijuana = - 0.5

percent change in alcohol demand = - 0.5 x 10% = - 5%

percent change in alcohol demand/percent change in price = - 2

to offset decrease in alcohol demand:

percent change in price = - 5%/2 = - 2.5% (decrease)

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