## Price Elasticity of Supply Definition

Price elasticity of supply is used as a measure to identify how the supply of a particular product and service reacts with the change in price of the same and higher price elasticity will denote that the producers and sellers of a particular goods and services are highly sensitive to even the slightest of changes or fluctuations with respect to its prices.

### Formula

It is calculated by dividing the percentage change in quantity supplied (∆Q_{s}/Q_{s}) by the percentage change in price (∆P/P) which is mathematically represented as,

**Price Elasticity of Supply = (∆Q**

_{S}/Q_{S}) ÷ (∆P/P)Further, the formula for price elasticity of supply can be elaborated to

**Price Elasticity of Supply = (Q**

_{1S}– Q_{0S}) / (Q_{1S}+ Q_{0S}) ÷ (P_{1}– P_{0}) / (P_{1}+ P_{0}),where Q_{0S} = Initial quantity supplied, Q_{1S} = Final quantity supplied, P_{0} = Initial price and P_{1} = Final price

### Explanation

In the above-given formula, symbol Q_{0} in the above formula depicts the initial quantity that is demanded which exists when the Price equals P_{0}. When the quantity supplied changes to Q_{1} then it will be because of P_{1} which symbolizes the new price.

In the above formula, the Price Elasticity of Supply will be a positive number because of the positive relationship between Quantity supplied and price. As the Prices goes up, the quantity supplied shall also go up. To the flip side, when the Prices go down, the quantity supplied shall also go down.

### Examples

Below we have taken some practical calculation examples of Price Elasticity of Supply formula to understand it better.

#### Example #1

**Let us take the simple example of pizza. Now let us assume that a surge of 40% in pizza price resulted in an increase in the supply of pizza by 25%. Using the above-mentioned formula the price elasticity of supply can be calculated as:**

Price elasticity of supply formula = Percentage change in quantity supplied / Percentage change in price

Therefore, the pizza exhibited inelastic supply characteristics.

#### Example #2

**Let us assume that there is a company that has installed vending machines for supplying soft drinks. At present, the vending machines sell soft drinks at $3.50 per bottle. Now at this price, the manufacturer supplies 4,000 bottles per week. However, due to some governmental ban, the price has declined to $3.00 which has resulted in a lower supply of 3,000 bottles per week. Now, the price elasticity of supply can be calculated as below:**

Given, Q_{0S} = 4,000 bottles, Q_{1S} = 3,000 bottles, P_{0} = $3.50 and P_{1} = $3.00

Therefore,

Price elasticity of supply formula = (Q_{1S} – Q_{0S}) / (Q_{1S} + Q_{0S}) ÷ (P_{1} – P_{0}) / (P_{1} + P_{0})

- Price elasticity of supply formula = (3,000 – 4,000) / (3,000 + 4,000) ÷ ($3.00 – $3.50) / ($3.00 + $3.50)

= (-1/7) ÷ (-1/13)

= 13/7 or 1.857

Therefore, the soft drink supplier exhibited elastic supply characteristics.

### Types

There are five cases of Price Elasticity of Supply which are discussed below:

#### #1 – Perfectly Inelastic Supply

The price elasticity of supply in such a case is zero which is indicative of the fact that the supply would remain the same irrespective of the price of the commodity.

#### #2 – Inelastic Supply

In the case of inelastic supply, the change in supply is relatively less than the change in price. As such, in this case, assumes a value which is less than 1.

#### #3 – Unitary Elastic Supply

In such a case, the change in supply quantity is exactly equal to the change in its price. As such, in this case, is equal to one.

#### #4 – Elastic Supply

In the case of elastic supply, the change in supply is relatively greater than the change in price. As such, in this case, assumes a value which is greater than 1.

#### #5 – Perfectly Elastic Supply

In such a case, the supply quantity becomes zero even with a slight fall in price and becomes infinite with a slight increase in price. This indicates that the suppliers are willing to supply an unlimited quantity of the commodity at a higher price.

### Relevance and Uses

It is very important for a business to appreciate the concept and use of this supply to understand the relationship between the price of a good and the corresponding quantity of the commodity that the supplier is willing to supply at that price. It can be used to decide on the batch production of various products.

In case the supply quantity fluctuates a lot when the price varies a little, then the product is said to be elastic. This often happens in the case of popular products or services that are in short supply for instance. In such a scenario when the price goes up the supplier increases the output immediately.

In case the quantity supplied changes by a very small margin despite a significant change in prices, then the product is said to be inelastic. This happens when there is a limited supply for the product or service and as such the supplier can’t supply despite higher prices.

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