Introduction to Elasticity

Money, money!  $$.  Elasticity of demand is a tool that helps firms make more money.  It is a number that aids sellers of a product or service to increase the revenue (defined as price times quantity sold) of the firm.

Imagine you had a business and that by changing the prices of your products you end with more money!  Elasticity is defined as the responsiveness in quantity demanded in percent given a percent change in price.

SaleDemand

Imagine the scenario above –  50% sale at your local store.  Check the table below:

Demand for blousesDemand for blouses
with 50% sale
Quantity2 blouses6 blouses
Price40 dollars20 dollars

The formula for elasticity is:

elasticity-demand-percentag

In the example above Q1 = 2 blouses and P1 = $40, Q2 = 6 blouses and P2 = $20 (50% off).  The video below will show how to calculate the value of elasticity:

The values of the elasticity formula will help the decision maker determine how to change prices in order to increase total revenue.  In the previous example:

PRICEQUANTITYTOTAL REVENUEVALUE OF ELASTICITY
$402$801.45
$206$120

The value of elasticity in this example, 1.45, tells us that this portion of this demand curve is elastic so that if we lower the price to $20 and we sell 6 blouses the total revenue is $120 as opposed to the original price of $40 and 2 blouses and total revenue of $80.  Economist label this a relatively elastic demand when the value of the formula – 1.45  in this example – is greater than 1.  Lower price and increase total revenue $$  We like more money!

However sometimes when prices go down – a firm makes less money 🙁  Let’s follow an example:

PRICEQUANTITYTOTAL REVENUEVALUE OF ELASTICITY
$2.8515$42.750.89
$2.6516$42.40

Using gasoline as an example – we see that as the price drops the total revenue decreases – what is going on?   Economist label this a relatively inelastic demand when the value of the formula – 0.89  in this example – is less  than 1. This is what elasticity is designed for – using the value of elasticity a firm can determine whether to raise/lower prices to increase total revenue.  This decision is made based upon the value of the elasticity formula – let’s review our examples from above:

elasticitysummaryThere is one more possibility – that the firm changes prices and revenue remains the same!  Economists called this the unitary value (= 1) of elasticity – however we will not expand on this case since it is very rare.

The short clip below will summarize how the value of elasticity helps a firm increase total revenue:

Check your knowledge of the Elasticity formula – the table below will let you input data and will Calculate the value of elasticity of demand 🙂