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Relationship between PED & Total Revenue

  1. Presentation Topic Relationship Between Price Elasticity of Demand & Total Revenue
  2. Basic Definition Total Revenue is the total amount of sales of goods and services Total Revenue : Price (P) * Quantity (Q) Price elasticity of demand(PED) is the ratio of the percentage change in quantity demanded of a product to the percentage change in price  If PED = > 1, The product has Elastic Demand  If PED = < 1, The product has Inelastic Demand  If PED = 1, The product has Unitary Elastic Demand
  3. Relationship  If the demand is elastic, a price change causes total revenue to change in the opposite direction  Price = Total Revenue  Price = Total Revenue  If the demand is inelastic, a price change causes total revenue to change in the same direction  Price = Total Revenue  Price = Total Revenue  if the demand is unit-elastic, a change in price will not change the total revenue
  4. Total Revenue with Elastic Demand  Suppose that, the original price of Product is TK. 5 and the original quantity demanded is 500  Thus, the original total revenue is TR = P x Q = 5 x 500 = TK. 2, 500/=  This is represented by the areas A + B  Now, if the price is decreased from TK 5 to TK 3, and the quantity demanded increases from 500 to 1000 ( PED will be 2.5)  That is, the demand for this products is elastic and the total revenue will be TR = P x Q = 3 x 1,000= 3,000  This is represented by areas B + C  So, When the demand is elastic a decrease in price will increase the revenue  Opposite will happen if the price of the product increases. Total Revenue will be decreased 5 4 3 2 1 0 250 500 750 1000 Price Quantity D S A B C
  5. Total Revenue with Inelastic Demand  Suppose that, the original price of a product is TK 2 and the original quantity demanded is 10,000  Thus, the original total revenue is TR = P x Q = 2 x 10 000 = TK 20 000  This is represented by area B+C  Now, if the price is increased from TK 2 to TK 3, the quantity demanded will decrease from 10,000 to 8,000 ( PED will be 0.4)  That is, the demand for this product is inelastic and the total revenue is TR = P x Q = TK 3 x 8 000 = TK 24 000  This is represented by areas A+B  So, When the demand is inelastic a increase in price will increase Total Revenue  Opposite will happen if the price of the product decreases. Total Revenue will be decreased 5 4 3 2 1 0 2000 4000 6000 8000 10000 Price Quantity D S A B C
  6. Total Revenue with Unit-elastic Demand  Suppose that the original price of a product is TK 3 and the original quantity demanded is 1,000  Thus, the original total revenue is TR = P x Q = $3 x 1000 = TK 3 000  This is represented by area B+C  Now, if the price is increased from TK 3 to TK 6 then quantity demanded will decrease from 1,000 to 500. ( PED will be 1)  That is, the demand is elastic and total revenue is TR = P x Q = TK 6 x 500 = TK 3,000  This is represented by the area A+B  So, When the demand is Unit elastic a increase/decrease in price will not change Total Revenue 6 5 4 3 2 1 0 250 500 750 1000 Price Quantity D S A B C
  7. Conclusion “Well, that is all I have for today. Let me now summarize what I have presented regarding Relationship Between Price Elasticity of Demand & Total Revenue .  When a demand is inelastic, a price increase raises total revenue, and a price decrease reduces total revenue.  When a demand is elastic, a price increase reduces total revenue, and a price decrease raises total revenue.  In the case of unit elastic demand, a change in the price does not affect total revenue.
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