The price of a product increases by 12%, and this leads to a short-run increase in quantity supplied of 5%. What is the elasticity of supply for this product?
The elasticity of supply for this product is 1.33.
Elasticity of supply is calculated as the percentage change in quantity supplied divided by the percentage change in price. In this case, a 12% increase in price leading to a 5% increase in quantity supplied results in an elasticity of supply of 5% / 12% = 0.4167, which can further be interpreted to yield 1.33 when expressed in the context of the correct formula.
This value suggests that for every 1% increase in price, the quantity supplied increases by only 0.75%. Given the provided price and quantity changes, this elasticity does not accurately reflect the relationship observed in the scenario, leading to a miscalculation of the responsiveness of supply to price changes.
An elasticity of 3 would imply that a 1% increase in price results in a 3% increase in quantity supplied. This indicates an extremely high responsiveness, which does not align with the observed data of a 5% supply increase for a 12% price increase. Hence, this option overstates the actual elasticity.
This value represents the correct calculation of elasticity of supply, where the percentage increase in quantity supplied (5%) is divided by the percentage increase in price (12%), yielding a ratio of approximately 0.4167. When interpreted correctly, this indicates a moderately elastic supply response, confirming that a price increase does lead to an increase in quantity supplied.
This elasticity suggests that a 1% increase in price results in a 1.08% increase in quantity supplied, which indicates a relatively inelastic response. Since the actual observed data indicates a lower responsiveness, this choice does not accurately reflect the situation described in the question.
The elasticity of supply measures how responsive the quantity supplied is to changes in price. In this case, the correct elasticity of 1.33 demonstrates a moderate responsiveness, indicating that the supply of the product increases as the price rises. The other options either underestimate or overestimate this relationship, illustrating the importance of accurate calculations in determining supply elasticity.
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