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Elasticity Overview Macroeconomics of Agriculture AGEC 430 Spring 2010 Market Equilibrium Price S D Initial market equilibrium Pe Qe Quantity Demand/Supply Model Demand equation: Qd = a0 - a1(Price) + ai (demand shifters) Supply equation: Qs = b0 +b1(price) + bi (supply shifters) Market equilibrium: Qd = Qs To forecast price, substitute demand and supply definitions into the equation for market equilibrium and solve for price. Concept of Elasticity Demand elasticities Own price elasticity = %Q/ %P Income elasticity = %Q/ %Y Cross Price elasticity = %Q/ %Px Related concept Price flexibility = %P/ %Q Elastic Demand Curve Price c Drop in price Pb Brings about a larger increase in the quantity demanded Pa 0 Qb Qa Quantity Elastic Demand Curve Price c Pb Producer revenue increases since %P is less that %Q. a b Pa 0 Qb Qa Revenue before the change was 0PbaQb. Revenue after the change was 0PabQa. Quantity Elastic Demand Curve Price c Pb Producer revenue increases since %P is less that %Q. a b Pa 0 Qb Qa Revenue before the change was 0PbaQb. Revenue after the change was 0PabQa. Quantity Elastic Demand Curve Price c Pb Producer revenue increases since %P is less that %Q. a b Pa 0 Qb Qa Revenue before the change was 0PbaQb. Revenue after the change was 0PabQa. Quantity Inelastic Demand Curve Price Pb Drop in price Pa Brings about a smaller increase in the quantity demanded Qb Qa Quantity Inelastic Demand Curve Price Pb Pa a b Producer revenue falls since %P is greater than %Q. Revenue before the change was 0PbaQb. Revenue after the change was 0PabQa. 0 Qb Qa Quantity Inelastic Demand Curve Price Pb Pa a b Producer revenue falls since %P is greater than %Q. Revenue before the change was 0PbaQb. Revenue after the change was 0PabQa. 0 Qb Qa Quantity Revenue Implications Own-price elasticity is: A drop in the price will: An increase in price will: Elastic Increase revenue Decrease revenue Unitary elastic Not change revenue Not change revenue Inelastic Decrease revenue Increase revenue Revenue Implications Own-price elasticity is: A drop in the price will: An increase in price will: Elastic Increase revenue Decrease revenue Unitary elastic Not change revenue Not change revenue Inelastic Decrease revenue Increase revenue