question archive How can we use the Midpoint Formula for Ed to determine the price elasticity of demand for each of the four possible 1 euro price changes (that is, from 5 euro to 4euro, from 4 euro to 3 euro, from 3 euro to 2 euro and from 2 euro to 1 euro) in the table below? Show all calculations

How can we use the Midpoint Formula for Ed to determine the price elasticity of demand for each of the four possible 1 euro price changes (that is, from 5 euro to 4euro, from 4 euro to 3 euro, from 3 euro to 2 euro and from 2 euro to 1 euro) in the table below? Show all calculations

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How can we use the Midpoint Formula for Ed to determine the price elasticity of demand for each of the four possible 1 euro price changes (that is, from 5 euro to 4euro, from 4 euro to 3 euro, from 3 euro to 2 euro and from 2 euro to 1 euro) in the table below? Show all calculations.

 

Price (euros) 5 4 3 2 1
Quantity demanded 1 2 3 4 5

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Formula for calculating elasticity, using mid point method, is as follows:

Ed = (Q2-Q1)/((Q2+Q1)/2) / (P2-P1)/((P2+P1)/2)

Where Q2 and P2 represents new quantity demanded and new price, respectively. Similarly, Q1 and P1 are original demand and price.

1) Elasticity when price changes from 5 euro to 4 euro:

Ed = (2-1)/((2+1)/2) / (4-5)/((4+5)/2)

Ed = -3

2) Elasticity when price changes from 4 euro to 3 euro:

Ed = (3-2)/((3+2)/2) / (3-4)/((3+4)/2)

Ed = -1.4

3) Elasticity when price changes from 3 euro to 2 euro:

Ed = (4-3)/((4+3)/2) / (2-3)/((2+3)/2)

Ed = -0.71

4) Elasticity when price changes from 2 euro to 1 euro:

Ed = (5-4)/((5+4)/2) / (2-1)/((2+1)/2)

Ed = -0.33

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