CA Foundation · Business Economics · Theory of Demand and Supply
A linear demand curve slopes downward and touches both axes. Moving from the vertical-axis intercept down to the horizontal-axis intercept, how does price elasticity of demand (in absolute value) behave?
On a linear downward-sloping demand curve, elasticity falls steadily from infinity at the price-axis intercept to zero at the quantity-axis intercept, because the P/Q ratio keeps shrinking as one moves down the curve while the slope stays the same. Unit elasticity occurs at the midpoint.
- AIt rises steadily from zero to infinity
- BIt falls steadily from infinity to zeroCorrect
- CIt remains constant and equal to one throughout
- DIt is first zero, then one, then infinity
Explanation
On a straight-line demand curve, elasticity at a point equals (P/Q) times the reciprocal of the slope. Near the price axis P is high and Q is tiny, so elasticity is very large (infinite at the intercept). Near the quantity axis P tends to zero, so elasticity tends to zero. The option saying it rises reverses the direction of movement.
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