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Explore the basics of supply and demand, the supply curve, demand curve, market equilibrium, elasticity, and predicting market effects with changing conditions.
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Chapter 2 The Basics of Supply and Demand
Supply and Demand • The Supply Curve • The relationship between the quantity of a good that producers are willing to sell and the price of the good Chapter 2
S P2 P1 Q1 Q2 The Supply Curve Price ($ per unit) The Supply Curve, Graphically Depicted The supply curve slopes upward, demonstrating that at higher prices firms will increase output Quantity Chapter 2
The Supply Curve • Other Variables Affecting Supply • Costs of Production • Technology • Prices of alternative outputs • Expected future prices Chapter 2
Supply and Demand • The Demand Curve • The relationship between the quantity of a good that consumers are willing to buy and the price of the good Chapter 2
P2 P1 D Q2 Q1 The Demand Curve Price ($ per unit) The demand curve slopes downward, demonstrating that consumers are willing to buy more at a lower price as the product becomes relatively cheaper. Quantity Chapter 2
The Demand Curve • Other Variables Affecting Demand • Income • Consumer Tastes • Price of Related Goods • Substitutes • Complements Chapter 2
S Price ($ per unit) P0 D Quantity Q0 The Market Mechanism The curves intersect at equilibrium, or market- clearing, price. Quantity demanded equals quantity supplied at P0 Chapter 2
Price ($ per unit) S Surplus P1 P0 D Quantity QD Q0 QS The Market Mechanism • At P1, price is above the market clearing price • Qs > QD • Price falls to the market-clearing price • Market adjusts to equilibrium Chapter 2
Price ($ per unit) S P3 P2 D Shortage Quantity QS QD Q3 The Market Mechanism • At P2, price is below the market clearing price • QD > QS • Price rises to the market-clearing price • Market adjusts to equilibrium Chapter 2
D P S S’ P1 P3 Q1 Q3 Q Q2 Changes in Market Equilibrium • Raw material prices fall • S shifts to S’ • Surplus at P1 between Q1, Q2 • Price adjusts to equilibrium at P3, Q3 Chapter 2
Price Elasticity of Demand • Measures the sensitivity of quantity demanded to price changes • It measures the percentage change in the quantity demanded of a good that results from a one percent change in price Chapter 2
Price Elasticity of Demand • Therefore, elasticity can also be written as: Chapter 2
Price Elasticity of Demand • Usually a negative number • As price increases, quantity decreases • As price decreases, quantity increases • When |EP| > 1, the good is price elastic • |%Q| > |%P| • When |EP| < 1, the good is price inelastic • |%Q| < |% P| Chapter 2
EP = - Price 4 Elastic Ep = -1 2 Inelastic Ep = 0 4 8 Q Price Elasticity of Demand Demand Curve Q = 8 – 2P Chapter 2
Price D P* Quantity Infinitely Elastic Demand EP = Chapter 2
Price Quantity Completely Inelastic Demand D EP = 0 Q* Chapter 2
Other Demand Elasticities • Income Elasticity of Demand • Measures how much quantity demanded changes with a change in income Chapter 2
Other Demand Elasticities • Cross-Price Elasticity of Demand • Measures the percentage change in the quantity demanded of one good that results from a one percent change in the price of another good Chapter 2
Price Elasticity of Supply • Measures the sensitivity of quantity supplied given a change in price • Measures the percentage change in quantity supplied resulting from a 1 percent change in price Chapter 2
Elasticity: An Application • Supply: QS = 1900 + 24P • Demand: QD = 3550 – 266P Chapter 2
Elasticity: An Application QD = QS 1800 + 240P = 3550 – 266P 506P = 1750 P = $3.46 per bushel Q = 1800 + (240)(3.46) = 2630 million bushels Chapter 2
Elasticity: An Application • We can find the elasticities of demand and supply at these points Chapter 2
Elasticity: An Application • Assume the price of wheat is $4.00/bushel due to decrease in supply, this will reduce quantity demanded to: Chapter 2
Elasticity: An Application • In 2002, the supply and demand for wheat were: • Supply: QS = 1439 + 267P • Demand: QD = 2809 – 226P Chapter 2
Elasticity: An Application QD = QS 2809 - 226P = 1439 + 267P P = $2.78 per bushel Q = 2809 - (226)(2.78) = 2181 million bushels Price of wheat fell in nominal terms. End of L1………….. Chapter 2
Predicting the Effects of Changing Market Conditions • Linear demand and supply must be fit to market data • Given equilibrium price and quantity along with elasticities of supply and demand, we can calculate the curves that fit the information • We can then calculate changes in the market Chapter 2
Predicting the Effects of Changing Market Conditions • Let’s begin with the equations for supply, demand, elasticity: • Demand: Q = a – bP • Supply: Q = c + dP • Elasticity: (P/Q)(Q/P) • We must calculate numbers for a, b, c, and d. Chapter 2
Predicting the Effects of Changing Market Conditions • The slope of the demand curve above equals Q/P which equals-b • The slope of the supply curve above equals Q/P which equals d • THEREFOR: Demand: ED = -b(P*/Q*) Supply: ES = d(P*/Q*) Chapter 2
Supply: Q = c + dP a/b ED = -bP*/Q* ES = dP*/Q* P* -c/d Demand: Q = a - bP Q* Predicting the Effects of Changing Market Conditions Price Quantity Chapter 2
Predicting the Effects of Changing Market Conditions • Using P*, Q* and the elasticities, we can solve for d and c from supply ES = d(P*/Q*) 1.6 = d(0.75/7.5) = 0.1d…..GIVEN d = 16 Q = c + dP 7.5 = c + (16)(0.75) = c + 12 c = -4.5 Chapter 2
Predicting the Effects of Changing Market Conditions • Using P*, Q* and the elasticities, we can solve for a and b from demand ED = –b(P*/Q*) -0.8 = -b(0.75/7.5) = –0.1b b = 8 Q = a – bP 7.5 = a – (8)(0.75) = a – 6 a = 13.5 Chapter 2
Predicting the Effects of Changing Market Conditions • We now have equations for supply and demand Supply: Q = –4.5 + 16P Demand: Q = 13.5 – 8P • Setting them equal will give us equilibrium price and quantity with which we began…..PLEASE VERIFY???? Chapter 2
Price Supply: QS = -4.5 + 16P a/b .75 -c/d Demand: QD = 13.5 - 8P Mmt/yr 7.5 Predicting the Effects of Changing Market Conditions Chapter 2
Predicting the Effects of Changing Market Conditions • Demand could also depend upon other variables such as income • Demand would then be written as: Chapter 2
Predicting the Effects of Changing Market Conditions • We know the following information regarding the copper industry: • I = 1.0 • P* = 0.75 • Q* = 7.5 • b = 8 • Income elasticity: EI= 1.3 Chapter 2
Predicting the Effects of Changing Market Conditions • Using the elasticity of income formula, we can solve for f EI = (I/Q)(Q/I) 1.3 = (1.0/7.5)(f) f = 9.75 • Substituting back into demand equation gives a = 3.75 Chapter 2
Effects of Price Controls • Markets are rarely free of government intervention • Imposed taxes and granted subsidies • Price controls • Price controls usually hold the price above or below the equilibrium price • Excess demand – shortage • Excess supply – surplus Chapter 2
Price S P0 Pmax Shortage D Q0 QD QS Quantity Effects of Price Controls • Price is regulated to be no higher than Pmax • Quantity supplied falls and quantity demanded increases • A shortage results Chapter 2
Effects of Price Controls • Excess demand sometimes takes the form of queues • Sometimes get supply rationing • Producers typically lose, but some consumers gain. Some consumers lose. …………….END OF L2 Chapter 2