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If Good C increases in price by 30% a pound, and this causes the quantity demanded for Good D to increase by 40%, what is the cross-price elasticity of the two goods? Round your answer to one decimal place.

Respuesta :

Answer:

1.3

Explanation:

Given:

If Good C increases in price by 30% a pound.

This causes the quantity demanded for Good D to increase by 40%.

Question asked:

What is the cross-price elasticity of the two goods ?

Solution:

We can find the cross-price elasticity of the two goods by this formula:

[tex]E_{c} = \frac{ Percent\ change\ in \a \ quantity \ of \ good \ D}{Percent \ change\ in\ the\ price\ of \ good\ C}[/tex]

[tex]E_{c} = \frac{40}{30}= 1.3[/tex]

When Good C increases in price by 30% which causes the quantity demanded for Good D to increase by 40%, then the cross-price elasticity of the  is Good C and  Good D is 1.3.

The cross-price elasticity of Good C and Good D is 1.3.

What is cross-price elasticity?

Cross-price elasticity refers to the elasticity of a good when the price of another good change, either increase or decrease. In simple terms, cross-price elasticity refers to the change in quantity demanded of a good with respect to a change in the price of another good.

The cross-price elasticity can be measured for Good C and Good D as:

[tex]\rm Cross-price \:elasticity = \dfrac{Percentage\:change\:in\demand\:of\: D}{Percentage\:change\:in\:price\:of\:C}[/tex]

Given:

Increase in price of Good C is 30%

Increase in demand for Good D is 40%

Therefore the cross-price elasticity will be:

[tex]\rm Cross-price \:elasticity = \dfrac{Percentage\:change\:in\demand\:of\: D}{Percentage\:change\:in\:price\:of\:C}\\\\\rm Cross-price \:elasticity = \dfrac{40\%}{30\%}\\\\\rm Cross-price \:elasticity = 1.3[/tex]

Hence the cross-price elasticity is 1.3.

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