Math Problem Statement
Suppose Sarah initially sells her cupcakes for R2 each and observes that she sells 200 cupcakes per day. After increasing the price to R2.50, she notices a decrease in sales to 150 cupcakes per day. Calculate the point elasticity of demand for Sarah's cupcakes. (3 Marks)
Solution
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Math Problem Analysis
Mathematical Concepts
Elasticity of Demand
Percentage Change
Proportional Relationships
Formulas
Elasticity of Demand (E_d) = (Percentage change in quantity demanded) / (Percentage change in price)
E_d = ((Q2 - Q1) / Q1) / ((P2 - P1) / P1)
Theorems
Inverse Relationship between Price and Quantity Demanded
Suitable Grade Level
Grades 10-12
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