

A firm raises the price of its products from £10 to £15. Its sales fall from 100 to 40 units per day. Calculate the PED of its products
Step 1: Calculate the % change in QD
Step 2: Calculate the % change in P

Step 3: Insert the above values in the PED formula

The PED value will always be negative so economists ignore the sign and present the answer as 1.2
The Size of PED Varies From 0 To Infinity (∞) & Is Classified As Follows
| Value | Name | Explanation |
| 0 | Perfectly Inelastic | The QD is completely unresponsive to a change in P (very theoretical value e.g. heart transplant is extremely inelastic but possibly not perfectly) |
| 0→1 | Relatively Inelastic | The %∆ in QD is less than proportional to the %∆ in P (e.g. addictive products) |
| 1 | Unitary Elasticity | The %∆ in QD is exactly equal to the %∆ in P |
| 1→ ∞ | Relatively Elastic | The %∆ in QD is more than proportional to the %∆ in P (e.g. luxury products) |
| ∞ | Perfectly Elastic | The %∆ in QD will fall to zero with any %∆ in P (highly theoretical elasticity) |
Factors That Influence the PED

A consumer's income rises from £100 to £125 a week. They originally consumed 12 bagels at the local bakery but this increased to 15 bagels a week. Calculate the YED of the bagels
Step 1: Calculate the % change in QD
Step 2: Calculate the % change in Y

Step 3: Insert the above values in the YED formula

The Value of YED Determines the Type of Good and Response to Changes in Income
| Value | Type of Good | Explanation |
| 0→1 | Normal necessity | Demand increases when income increases. Income inelastic which means that it is relatively unresponsive to a change in income |
| >1 | Normal luxury | Demand increases when income increases. Income elastic which means that it is relatively responsive to a change in income |
| <1 | Inferior Good | Demand decreases when income increases |
Factors That Influence YED

Leading into the release of FIFA 22 Ultimate, EA Sports discounted the price of FIFA 21 from £90 to £60. A game store in Winchester saw an increase in sales of their PlayStation 5 consoles. Prior to the discount they were selling 50 units a week and after the discount this increased to 80 units. Calculate the XED and explain the relationship between the two products
Step 1: Calculate the % change in QDA
Step 2: Calculate the % change in PB

Step 3: Insert the above values in the XED formula

Step 4: Explain the relationship between the two products
The negative sign indicates that these two products are complements and the high value suggests they are strong complements
Using XED Values to Identify if Goods are Complements, Substitutes, Or Unrelated
| Value | Name | Explanation |
| XED < 0 | Complementary goods | The negative value indicates the two goods are complements The higher the value the stronger the relationship |
| XED > 0 | Substitutes | The positive value indicates the two goods are substitutes The higher the value the stronger the relationship |
| XED = 0 | Unrelated goods | A value of zero indicates that there is no relationship between the two goods. The closer to zero the weaker the relationship is |
A firm raises the price of its products from £10 to £15. Its sales have fallen from 100 to 40 units per day. Explain if they made the correct decision
Step 1: Calculate the initial sales revenue

Step 2: Calculate the sales revenue after the price change

Step 3: Explain the decision
By raising the price, the total revenue has fallen by £400. This indicates that the product is price elastic in demand and the firm should have lowered their price in order to maximise revenue
A common error students make is to say that when prices increase and the product is inelastic in demand, the quantity demanded does not fall. It does! But it is a less than proportional fall than the increase in price.
So, when Governments tax demerit goods such as cigarettes, the increase in price is greater than the decrease in QD, but QD still falls.
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