Price elasticity of demand (PED) and cross elasticity of demand (CED) are vital concepts in economics that measure the responsiveness of quantity demanded to changes in price and the relationship between the demand for two different products, respectively. In this essay, we will delve into the calculation of PED for coffee, determine whether coffee is price elastic or price inelastic, discuss the potential impact on coffee farmers’ total revenue due to a price increase, and subsequently calculate the CED between coffee and milk to ascertain their complementarity or substitutability.
PED is calculated as the percentage change in quantity demanded divided by the percentage change in price. Using the information provided, the percentage change in quantity demanded for coffee is -15% (since it decreased) and the percentage change in price is 30%. Applying these values to the PED formula:
���=Percentage Change in Quantity DemandedPercentage Change in Price ���=−15%30%=−0.5
Since the calculated PED is less than 1, coffee is considered price inelastic. This means that the percentage change in quantity demanded (-15%) is proportionately smaller than the percentage change in price (30%).
When a product is price inelastic, a price increase leads to a relatively smaller decrease in quantity demanded, resulting in total revenue increase. In the case of coffee, if the price rises by 30%, the quantity demanded decreases by 15%, indicating an inelastic response. As a result, coffee farmers’ total revenue is likely to increase due to the price increase.
CED measures the responsiveness of the quantity demanded of one product (coffee) to changes in the price of another product (milk). The formula for CED is:
���=Percentage Change in Quantity Demanded of CoffeePercentage Change in Price of Milk
Given that the percentage change in quantity demanded of coffee is -15% and the percentage change in price of milk is 30%, applying these values to the CED formula:
���=−15%30%=−0.5
As CED is negative and its absolute value is less than 1, it indicates that coffee and milk are substitutes. This means that an increase in the price of milk leads to a decrease in the quantity demanded of coffee, highlighting their competitive relationship.
In conclusion, understanding price elasticity of demand and cross elasticity of demand is essential for businesses and policymakers to make informed decisions. In the case of coffee, its price inelasticity suggests that a price increase can lead to higher total revenue for coffee farmers. Moreover, the negative CED value between coffee and milk indicates that these two products are substitutes, implying that changes in the price of one product influence the demand for the other. By grasping these economic concepts, stakeholders can navigate the coffee market with a clearer understanding of consumer behavior and market dynamics.
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