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If an increase in the price of a good has no impact on the total revenue in that market, demand must be Check My Work (2 r a. price inelastic b. price elastic c. unit price elastic d. all of the answer choices

Ask by Ortiz Cross. in the United States
Jan 27,2025

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Tutor-Verified Answer

Answer

Demand is **unit price elastic**.

Solution

The correct answer is: **c. unit price elastic** **Explanation:** Total revenue (TR) is calculated as the product of price (P) and quantity sold (Q): \[ \text{Total Revenue} = P \times Q \] When the price of a good increases and **total revenue remains unchanged**, it implies that the percentage increase in price is exactly offset by the percentage decrease in quantity demanded. Mathematically, this situation occurs when the **price elasticity of demand is exactly equal to 1**, meaning the demand is **unit price elastic**. Here's a breakdown of the elasticity concepts: - **Price Inelastic (Elasticity < 1):** When demand is inelastic, an increase in price leads to an increase in total revenue because the percentage drop in quantity demanded is less than the percentage increase in price. - **Price Elastic (Elasticity > 1):** When demand is elastic, an increase in price leads to a decrease in total revenue because the percentage drop in quantity demanded is greater than the percentage increase in price. - **Unit Price Elastic (Elasticity = 1):** Here, any change in price does not affect total revenue because the percentage change in price is exactly balanced by the opposite percentage change in quantity demanded. Since the total revenue doesn't change with a price increase, the demand must be **unit price elastic**. **Answer:** c. unit price elastic

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The Deep Dive

When an increase in the price of a good does not affect total revenue, it points to unit price elasticity. This means that the percentage change in quantity demanded is exactly equal to the percentage change in price, balancing out the revenue. Picture it like the delicate dance of a seesaw, where one side rises and the other dips perfectly in sync! In markets exhibiting unit price elasticity, consumers are quite responsive. For example, if a popular concert ticket raises its price from $50 to $60 and the number of tickets sold drops proportionally, overall revenue may remain unchanged. It's a tightrope act of balance in pricing strategy!

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