The cross elasticity of demand between printers (X) and ink cartridges (Y) is −1.5. The price of cartridges rises by 10%. What is the expected effect on the quantity of printers demanded, and what does the sign tell us?

Answer and explanation

Correct answer: D. A fall of 15%, showing the goods are complements

  1. Step 1: Cross elasticity = % change in quantity of X ÷ % change in price of Y.
  2. Step 2: % change in X = −1.5 × 10% = −15%.
  3. Step 3: A negative value means a rise in the price of one reduces demand for the other, so they are complements.
Answer
A fall of 15%, showing the goods are complements.
Why not the others: A negative cross elasticity means complements, so demand falls when the other good's price rises. This divides 10% by 1.5 instead of multiplying. Cross elasticity does not measure inferiority; the sign shows complements or substitutes.

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