Econ 410: Micro TheorySupply and Demand ReviewMonday, August 27th, 2007The Demand Curve The quantity demandedof a good is the amount of a good that consumers are willing and able to buy at a particular price. A demand curveshows the quantity demanded at any given price. A movement alongthe demand curve represents a change in the quantity demanded A shift of the entirecurve is referred to as a change in demand.The Demand Curve We can illustrate this relationship graphically, or as a function: Qd= D(P) Inverse Demand Function P = P(Qd) = D-1(Qd) Shifting the Demand Curve If a change causes consumers to buy more or less of a good at any given price, the demand curve shifts. These changes could include: Increases in population Advertising or other changes in preferences Changes in the price of substitute or complementary goodsShifting the Demand CurveThe Supply Curve The supply curveshows the quantity of a good that producers are willing to sell at any given price. Just like the demand curve, it can be illustrated both graphically and mathematically:Qs= Qs(P)Shifting the Supply Curve A variety of factors can shift the supply curve, including: Changes in the prices of raw materials Wages, interest rates, and other production costsShifting the Supply CurveMarket Equilibrium The supply and demand curves intersect at the market equilibrium The tendency in a free market is for markets to clear This is sometimes referred to as the market mechanism This means that surpluses and shortages are eliminated at the market-clearing price and quantity.Changes in Market Equilibrium Shifts in supply or demand will change the market-clearing price and quantity. Distortions can also change equilibrium prices and quantities. These include: Taxes Subsidies Quotas Tariffs Firms with market powerPrice Elasticity of Demand An elasticitymeasures the percentage change in one variable that will occur as a result of a 1% increase in another variable Price Elasticity of Demand InterpretationPQQPPQEp%%Elasticities of Demand Linear Demand Curves Q = a – bPOther Demand ElasticitiesIncome Elasticity of DemandCross-Price Elasticity of DemandIQQIIQEI%%211221%%21PQQPPQEPQElasticity Practice The demand for a bushel of wheat in 1991 was given by: Qd= 3550-266P At a price of $3.46 per bushel, what is the price elasticity of demand? If the price of wheat falls to $3.27 per bushel, what happens to the total revenue generated from the sale of wheat? Qd= 3550-266PAt a price of $3.46 per bushel, what is the price elasticity of demand?Solution:At a price of $3.46:Qd($3.46)= 3550-266(3.46)=2629.64 bushelsSimilarly, Qd($3.27)= 2680.18Elasticity PracticePQQPEp46.3$27.3$64.262918.268064.262946.3$35.019.054.50Elasticity Practice If the price of wheat falls to $3.27 per bushel, what happens to the total revenue generated from the sale of wheat?Solution: At a price of $3.46, Total Revenue = P · Q = $3.46 · 2629.64 = $9098.55 At a price of $3.27, Total Revenue = P · Q = $3.27 · 2680.18 = $8764.19 Total revenue decreasesby $334.36Other Elasticities Price Elasticity of Supply Point vs. Arc Elasticities While point elasticities are determined at a particular point, arc elasticities are determined over a range of prices. Elasticity and the Long Run Demand Example – Gas Prices and Fuel Efficiency Supply Capacity ConstraintsFor next time… Read pages 24-40 and 55-57 of your text Equivalent to sections 2.3, 2.4, 2.7, and the first part of 2.5 Assignment:Questions for Review:#2, #5, #7, #10-11Exercises:#1, #3-6 Write out answers clearly on a separate sheet of paper with your name and PID. Show all work and include graphs when necessary. Due Friday, August
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