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The table below shows data on the drinks market in Chile in 2017 - Edexcel - A-Level Economics A - Question 2 - 2022 - Paper 1

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The table below shows data on the drinks market in Chile in 2017. Price elasticity of demand for sweetened drinks -1.37 Cross price elasticity of demand for bottle... show full transcript

Worked Solution & Example Answer:The table below shows data on the drinks market in Chile in 2017 - Edexcel - A-Level Economics A - Question 2 - 2022 - Paper 1

Step 1

The price of sweetened drinks increases by 5%. Ceteris paribus, calculate the percentage change in the quantity demanded for sweetened drinks.

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Answer

To calculate the percentage change in the quantity demanded for sweetened drinks, we can use the formula for price elasticity of demand:

extPercentageChangeinQuantityDemanded=extPriceElasticityofDemandimesextPercentageChangeinPrice ext{Percentage Change in Quantity Demanded} = ext{Price Elasticity of Demand} imes ext{Percentage Change in Price}

Here, the price elasticity of demand is -1.37 and the percentage change in price is +5%. Hence:

extPercentageChangeinQuantityDemanded=1.37imes5 ext{Percentage Change in Quantity Demanded} = -1.37 imes 5\\%

Calculating this gives:

ext{Percentage Change in Quantity Demanded} = -6.85\

Therefore, the percentage change in the quantity demanded for sweetened drinks is approximately -6.85%.

Step 2

The price of sweetened drinks increases by 5%. Ceteris paribus, calculate the percentage change in the quantity demanded for bottled water.

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Answer

To calculate the percentage change in the quantity demanded for bottled water, we again use the cross price elasticity of demand:

extPercentageChangeinQuantityDemandedforBottledWater=extCrossPriceElasticityimesextPercentageChangeinPriceofSweetenedDrinks ext{Percentage Change in Quantity Demanded for Bottled Water} = ext{Cross Price Elasticity} imes ext{Percentage Change in Price of Sweetened Drinks}

Given that the cross price elasticity is +0.63 and the percentage change in price of sweetened drinks is +5%, we have:

extPercentageChangeinQuantityDemandedforBottledWater=0.63imes5 ext{Percentage Change in Quantity Demanded for Bottled Water} = 0.63 imes 5\\%

Calculating this yields:

ext{Percentage Change in Quantity Demanded for Bottled Water} = +3.15\

Thus, the percentage change in the quantity demanded for bottled water is approximately +3.15%.

Step 3

Using the data on page 4, which one of the following is most likely?

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Answer

Based on the information provided, the only correct answer is D: Complements.

This conclusion is drawn from the analysis of the demand characteristics of sweetened drinks and bottled water, where a decrease in the price of sweetened drinks is expected to increase the quantity demanded of bottled water due to their complementary relationship.

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