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Using the data in Extract A, calculate, to 2 decimal places, the income elasticity of demand for takeaway meals - Edexcel - A-Level Business - Question 1 - 2018 - Paper 1

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Using the data in Extract A, calculate, to 2 decimal places, the income elasticity of demand for takeaway meals. You are advised to show your working. Extract A Tak... show full transcript

Worked Solution & Example Answer:Using the data in Extract A, calculate, to 2 decimal places, the income elasticity of demand for takeaway meals - Edexcel - A-Level Business - Question 1 - 2018 - Paper 1

Step 1

Calculate the Percentage Change in Quantity Demanded

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Answer

To find the percentage change in the average number of takeaway meals consumed:

  • For 2013: 140 meals
  • For 2014: 144 meals

Using the formula: Percentage Change=(NewOld)Old×100\text{Percentage Change} = \frac{(New - Old)}{Old} \times 100

We have: Percentage Change=(144140)140×100=4140×100=2.86%\text{Percentage Change} = \frac{(144 - 140)}{140} \times 100 = \frac{4}{140} \times 100 = 2.86\%

Step 2

Calculate the Percentage Change in Income

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Answer

Now, for the median income:

  • For 2013: £27,000
  • For 2014: £27,195

Using the formula: Percentage Change in Income=(NewOld)Old×100\text{Percentage Change in Income} = \frac{(New - Old)}{Old} \times 100

We calculate: Percentage Change in Income=(2719527000)27000×100=19527000×100=0.72%\text{Percentage Change in Income} = \frac{(27195 - 27000)}{27000} \times 100 = \frac{195}{27000} \times 100 = 0.72\%

Step 3

Calculate Income Elasticity of Demand

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Answer

Using the values obtained for the percentage changes:

  • Percentage Change in Quantity Demanded = 2.86%
  • Percentage Change in Income = 0.72%

Using the formula for Income Elasticity of Demand: Income Elasticity of Demand=Percentage Change in Quantity DemandedPercentage Change in Income\text{Income Elasticity of Demand} = \frac{\text{Percentage Change in Quantity Demanded}}{\text{Percentage Change in Income}}

Thus, we have: Income Elasticity of Demand=2.860.72=3.97\text{Income Elasticity of Demand} = \frac{2.86}{0.72} = 3.97

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