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3 22. Provide three separate numerical example and demonstrate how to compute price-elasticity, income-elasticity, and cross-

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Answer #1

Answer 22.

Suppose

Initial price P1= $10

Initial quantity Q1= 500

New price P2= $20

New quantity Q2= 400

Price Elasticity of demand= percentage change in quantity demanded/ percentage change in price

=((Q2-Q1)/(Q2+Q1))÷((P2-P1)/(P2+P1))

= ((400-500)/(500+400))÷((20-10)/(20+10))

=((-100/900)÷(10/30))

= -1/3

= -0.333

Income elasticity of demand= percentage change in quantity demanded/ percentage change in income

Initial income I1 = $10000

New income I2= $12000

Initial quantity= 24

New quantity= 30

=((Q2-Q1)/(Q2+Q1))÷((I2-I1)/(I2+I1))

=((30-24)/(30+24))÷ ((12000-10000)/(12000+10000))

=((6/54)÷(2000/22000))

= 11/9

= 1.22

Suppose

Initial price Py1= $2

Initial quantity Qx1= 80

New price Py2= $4

New quantity Qx2= 40

Cross Price Elasticity of demand= percentage change in quantity demanded of good X/ percentage change in price of good Y

=((Qx2-Qx1)/(Qx2+Qx1))÷((Py2-Py1)/(Py2+Py1))

= ((40-80)/(80+40))÷((4-2)/(4+2))

=((-40/120)÷(2/6))

= (-1/3)÷(1/3)

= -1

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