Question

What is Price Elasticity? Explain Point Price Elasticity. Calculate Point Price Elasticity from the price and quantity given below:

Price (P) Quantity (Q) Point Price Elasticity
100 0  
90 30  
80 60  
70 90  
60 120  
50 150  
14 May 2025
Answer :
Word Count : 480
Nice — we’ll do this manually step-by-step. ### 1) What is price elasticity? Price elasticity of demand measures how much quantity demanded (Q) responds to a small change in price (P). Numerically: $$ E_p=\frac{\%\ \text{change in }Q}{\%\ \text{change in }P} $$ ### 2) Point price elasticity (formula) The point price elasticity at a given price $P$ and quantity $Q$ uses the derivative of the demand function: $$ E_p=\frac{dQ}{dP}\cdot\frac{P}{Q}. $$ So you need the slope $dQ/dP$ of the demand function and the specific $P,Q$ pair. --- ### 3) Find the demand function from the data (manual) From the table, when price falls by $10$ (e.g. 100 → 90), quantity rises by $30$ (0 → 30). So $$ \Delta Q/\Delta P = __________ ________ ______ _________ _______ ___ _________.
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