Questions: If the price of oil goes up by 50% and the quantity demanded goes down by 25%, the absolute value of the price elasticity of demand is
0.75 .
0.50 .
0.25 .
1.00 .
If the price of oil goes up by 50% and the quantity demanded goes down by 25%, the absolute value of the price elasticity of demand is
0.75 .
0.50 .
0.25 .
1.00 .
Solution
The answer is 0.50.
To determine the price elasticity of demand, we use the formula:
\[ \text{Price Elasticity of Demand (PED)} = \frac{\% \text{ change in quantity demanded}}{\% \text{ change in price}} \]
Given:
The price of oil increases by 50%, so the percentage change in price is \( +50\% \).
The quantity demanded decreases by 25%, so the percentage change in quantity demanded is \( -25\% \).
Now, plug these values into the formula:
\[ \text{PED} = \frac{-25\%}{+50\%} = -0.50 \]
The absolute value of the price elasticity of demand is:
\[ |\text{PED}| = |-0.50| = 0.50 \]
Therefore, the correct answer is 0.50.
Explanation of Other Options:
0.75: This would imply that the quantity demanded decreases by 37.5% when the price increases by 50%, which is not the case here.
0.25: This would imply that the quantity demanded decreases by 12.5% when the price increases by 50%, which is not the case here.
1.00: This would imply that the quantity demanded decreases by 50% when the price increases by 50%, which is not the case here.