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Calculating the price elasticity of demand - A step-by-step guide Suppose that during the past year, the price of a laptop computer rose from $2,100 to $2,550

Economics Dec 18, 2020

Calculating the price elasticity of demand - A step-by-step guide

Suppose that during the past year, the price of a laptop computer rose from $2,100 to $2,550. During the same time period, consumer sales decreased from 470,000 to 363,000 laptops.

Calculate the elasticity of demand between these two prices and quantity combinations by using the following steps. After each step, complete the relevant part of the table with the appropriate answers.

Step 1: Fill in the appropriate values for original quantity, new quantity, original price, and new price.

Step 2: Calculate the average quantity by adding the original quantity and the new quantity, and then dividing by two. Do the same for the average price.

Step 3: Calculate the change in quantity by subtracting the original quantity from the new quantity. Do the same for the change in price.

Step 4: Calculate the percentage change in quantity demanded by dividing the change in quantity by the average quantity. Do the same to calculate the percentage change in price.

Step 5: Calculate the price elasticity of demand by dividing the percentage change in quantity demanded by the percentage change in price, ignoring the negative sign.

Using the midpoint method, the elasticity of demand for laptops is about (0.66, 0.75, 1.33,2.65) .

Expert Solution

We can use a table to show the first three steps given by:

Step 1: Fill in the appropriate values for original quantity, new quantity, original price, and new price.

Step 2: Calculate the average quantity by adding the original quantity and the new quantity, and then dividing by two. Do the same for the average price.

Step 3: Calculate the change in quantity by subtracting the original quantity from the new quantity. Do the same for the change in price.

 

- Original New Average Changed
Quantity 470,000 363,000 416,900 -107,000
Price 2,100 2,550 2325 450

Now, we can solve for the 3rd and the 4th steps:

Step 4: Calculate the percentage change in quantity demanded by dividing the change in quantity by the average quantity. Do the same to calculate the percentage change in price.

  • (-107,000 / 416,900) = -0.2567
  • (450/ 2325) = 0.1935

Step 5: Calculate the price elasticity of demand by dividing the percentage change in quantity demanded by the percentage change in price, ignoring the negative sign.

the price elasticity of demand by dividing the percentage change in quantity demanded by the percentage change in price = % Change in quantity/ % change in price

= -0.2567 / 0.1935

= 1.33

Using the midpoint method, the elasticity of demand for laptops is about 1.33

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