. Suppose each of the following cases increases your quantity
demanded for Good X by 20 percent. What can you determine about
your demand for Good X from the information? a. The price of Good X
decreases by 22 percent. b. The price of Good Y increases by 10
percent. c. Your income increases by 25 percent.
Ans) Percentage change in quantity demanded = + 20%
1) Own price elasticity = %change in quantity demanded of good X ÷ %change in price of good X
Own price elasticity = 20÷(-22) = -0.909 = -0.91
Since elasticity is less than 1, demand for good X is inelastic.
(If elasticity is more than 1 then demand is elastic)
2) Cross price elasticity = %change in quantity demanded of good X ÷ %change in price of good Y
Cross price elasticity = 20÷10 = 2
Since cross price elasticity is positive, good X and good Y are substitutes. Further, since elasticity is more, goods are strong substitutes.
(Cross price elasticity is negative for complementary goods)
3) Income elasticity of demand = %change in quantity demanded of good X ÷ %change in income
Income elasticity = 20÷25 = 0.8
Since income elasticity is positive, good is normal good. Further, since elasticity is less than 1, good is necessity.
(Income elasticity is negative for inferior goods. )
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