he income elasticity of demand for jewelry is 2. Other things equal, a 10% increase in consumer income will ___________ the quantity of jewelry demanded by ________Multiple Choicedecrease; 20%.increase; 5%.decrease; 5%.increase; 20%.
Question
he income elasticity of demand for jewelry is 2. Other things equal, a 10% increase in consumer income will ___________ the quantity of jewelry demanded by ________Multiple Choicedecrease; 20%.increase; 5%.decrease; 5%.increase; 20%.
Solution
To solve this problem, we need to use the concept of income elasticity of demand. The income elasticity of demand (E) is defined as the percentage change in the quantity demanded (Q) divided by the percentage change in income (I). Mathematically, it is expressed as:
Given:
- The income elasticity of demand for jewelry (E) is 2.
- The percentage change in income (% \Delta I) is 10%.
We need to find the percentage change in the quantity of jewelry demanded (% \Delta Q). Rearranging the formula to solve for % \Delta Q, we get:
Substituting the given values:
Therefore, a 10% increase in consumer income will increase the quantity of jewelry demanded by 20%. The correct answer is:
increase; 20%.
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