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Multiple Choice
A linear, downward-sloping demand curve is
A
Inelastic
B
Unit Elastic
C
Elastic
D
Inelastic at some points, and elastic at others
Verified step by step guidance
1
Understand the concept of elasticity: Elasticity measures how much the quantity demanded of a good responds to a change in price. If the quantity demanded changes significantly with a small change in price, the demand is elastic. If it changes little, the demand is inelastic.
Recognize the characteristics of a linear demand curve: A linear demand curve is a straight line, which means the slope is constant. However, elasticity is not constant along the curve.
Identify the relationship between slope and elasticity: Elasticity depends on both the slope of the demand curve and the price and quantity at a given point. The formula for elasticity is \( E_d = \frac{\text{Percentage change in quantity demanded}}{\text{Percentage change in price}} \).
Analyze different points on the demand curve: At higher prices and lower quantities, the demand tends to be elastic because consumers are more responsive to price changes. At lower prices and higher quantities, the demand tends to be inelastic because consumers are less responsive to price changes.
Conclude that a linear demand curve is elastic at high prices and low quantities, unit elastic at the midpoint, and inelastic at low prices and high quantities. This explains why the correct answer is that the demand curve is inelastic at some points and elastic at others.