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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

(a) The price of sweetened drinks increases by 5%. Ceteris paribus, calculate the percentage change in the quantity demanded for sweetened drinks. You are advised to show your working.

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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=extPriceElasticityimesextPercentageChangeinPrice ext{Percentage Change in Quantity Demanded} = ext{Price Elasticity} imes ext{Percentage Change in Price}

Substituting the values from the question:

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

Calculating the result:

=1.37imes0.05=0.0685extor6.85 Percentage Change=6.85ext%= -1.37 imes 0.05 = -0.0685 ext{ or } -6.85\ \text{Percentage Change} = -6.85 ext{\%}

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

Step 2

(b) The price of sweetened drinks increases by 5%. Ceteris paribus, calculate the percentage change in the quantity demanded for bottled water. You are advised to show your working.

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Answer

For bottled water, we use the cross price elasticity of demand formula:

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

Inserting the values:

=0.63imes5= 0.63 imes 5\\%

Calculating it:

=0.63imes0.05=0.0315extor3.15 Percentage Change=3.15ext%= 0.63 imes 0.05 = 0.0315 ext{ or } 3.15\ \text{Percentage Change} = 3.15 ext{\%}

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

Step 3

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

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Answer

The most likely answer is D.

When the price of sweetened drinks decreases, the demand for bottled water, being a substitute, will also likely increase. Therefore, the most accurate answer is D: Substitutes.

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