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Question
What is the price elasticity associated with the straight line supply curve passing through the origin? Explain with a diagram.
Diagram
Explain
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Solution
When a straight line supply curve passes through the origin, the Price Elasticity of Supply (Es) equals 1, showing unitary elasticity of supply.
Reason for Unitary Elasticity:
- Proportional Response: At each point on the supply curve, the percentage change in quantity supplied equals the percentage change in price.
- Constant Slope: Although the supply curve's slope is constant, the elasticity is always one as the line passes through the origin because the price-quantity ratio remains constant along the curve.
`E_s = (%"Change in Quantity Supplied")/(%"Change in Price")`
For a supply curve passing through the origin:
`E_s = ((DeltaQ)/Q)/((DeltaP)/P) = 1`

- The X-axis represents Quantity Supplied (Q).
- The Y-axis represents Price (P).
- The straight line SS passes through the origin, showing a direct proportional relationship.
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