Calculating Price Elasticity of Demand

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Question:

Suppose that along a given demand curve, price goes up by 10%, decreasing quantity demanded by 5%. The price elasticity of demand is:

impossible to calculate without specific prices and quantities.

–2.

–1/2.

Answer:

The price elasticity of demand (PED) can be calculated using the formula:

[ \text{Price Elasticity of Demand} = \frac{%\text{ Change in Quantity Demanded}}{%\text{ Change in Price}} ]

In this case, the price increases by 10%, which is a positive change, and the quantity demanded decreases by 5%, which is a negative change. Therefore, we can plug in the values:

[ \text{Price Elasticity of Demand} = \frac{-5%}{10%} = -0.5 ]

Thus, the price elasticity of demand is (-1/2).

So the correct answer is:

–1/2.