Analyzing Elasticities and Their Impact on Consumption

Suppose the own price elasticity of demand for a good X is 5, its income elasticity is 1, its advertising elasticity is 4, and the cross-price elasticity of demand between it and good Y is 3. Determine how much the consumption of this good will change if: The price of good X decreases by 6%. The price of good Y increases by 7%. Advertising decreases by 2%. Income increases by 3%.
Analyzing Elasticities and Their Impact on Consumption In this analysis, we will examine the elasticities of demand for good X, including own price elasticity, income elasticity, advertising elasticity, and cross-price elasticity with good Y. We will then determine how changes in various factors affect the consumption of good X. Elasticities Data - Own Price Elasticity of Demand (PED) = 5 - Income Elasticity of Demand = 1 - Advertising Elasticity of Demand = 4 - Cross-Price Elasticity of Demand with Good Y = 3 Impact on Consumption 1. Price of Good X Decreases by 6% - Using own price elasticity: PED = %ΔQd / %ΔP - Given PED = 5 and %ΔP = -6% - %ΔQd = PED * %ΔP = 5 * (-6%) = -30% - The consumption of good X will decrease by 30%. 2. Price of Good Y Increases by 7% - Using cross-price elasticity: XED = %ΔQd_X / %ΔP_Y - Given XED = 3 and %ΔP_Y = 7% - %ΔQd_X = XED * %ΔP_Y = 3 * 7% = 21% - The consumption of good X will increase by 21%. 3. Advertising Decreases by 2% - Using advertising elasticity: AED = %ΔQd / %ΔA - Given AED = 4 and %ΔA = -2% - %ΔQd = AED * %ΔA = 4 * (-2%) = -8% - The consumption of good X will decrease by 8%. 4. Income Increases by 3% - Using income elasticity: YED = %ΔQd / %ΔY - Given YED = 1 and %ΔY = 3% - %ΔQd = YED * %ΔY = 1 * 3% = 3% - The consumption of good X will increase by 3%. Conclusion The elasticities of demand provide valuable insights into how changes in prices, income, advertising, and cross-prices affect the consumption of a good. By understanding these elasticities, businesses can predict and adapt to shifts in consumer behavior, leading to more effective pricing and marketing strategies for optimizing their market performance and profitability.  

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