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If the price elasticity of demand for a good is 5, then a 10 percent increase in price results in aGroup of answer choices0.5 percent decrease in the quantity demanded.2 percent decrease in the quantity demanded.5 percent decrease in the quantity demanded.50 percent decrease in the quantity demanded.

Question

If the price elasticity of demand for a good is 5, then a 10 percent increase in price results in aGroup of answer choices0.5 percent decrease in the quantity demanded.2 percent decrease in the quantity demanded.5 percent decrease in the quantity demanded.50 percent decrease in the quantity demanded.

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Solution

The price elasticity of demand measures how responsive the quantity demanded of a good is to a change in its price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

In this case, the price elasticity of demand is given as 5. This means that for every 1 percent increase in price, the quantity demanded decreases by 5 percent.

So, if the price increases by 10 percent, we would expect the quantity demanded to decrease by 50 percent (because 10 * 5 = 50). Therefore, the correct answer is a 50 percent decrease in the quantity demanded.

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