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Supply and Demand Overheads
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Equilibrium Equilibrium is defined a state of rest;
a situation that, one achieved, will not change, unless some external factor, previously held constant, changes.
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Market Equilibrium A market is said to be in equilibrium
if the price in the market is such that the quantity supplied (QS) in the market and the quantity demanded (QD) in the market are equal.
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Supply = Demand D0 Demand and Supply of Hamburger Patties S0 Price
3.5 Price 3 S0 2.5 D0 2 1.5 1 0.5 2000 4000 6000 8000 10000 12000 Quantity
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Quantity Quantity Price (per lb) supplied demanded
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Excess supply and excess demand
At a given price, the excess of the quantity supplied over the quantity demand is called the excess supply. Excess supply = QS (P) - QD (P)
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Quantity Quantity Price (per lb) supplied demanded At a price of $2.10, excess supply (QS (P) - QD (P) ) is given by 7, ,600 = 4,400
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Quantity Quantity Price (per lb) supplied demanded At a price of $1.20, excess supply (QS (P) - QD (P) ) is given by 4, ,200 = -2,200
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Excess demand Excess Demand = QD (P) - QS (P)
At a given price, the excess of the quantity demanded over the quantity supplied is called the excess demand. Excess Demand = QD (P) - QS (P)
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Quantity Quantity Price (per lb) supplied demanded At a price of $0.90, excess demand (QD (P) - QS (P) ) is given by 7, ,000 = 4,400
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Quantity Quantity Price (per lb) supplied demanded At a price of $2.10, excess demand (QD (P) - QS (P) ) is given by 2, ,000 = -4,400
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Market Equilibrium A market is in equilibrium when the price is
such that the quantity supplied is equal to quantity demanded. A market is in equilibrium when the price is such that excess supply equals excess demand equals zero.
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QD (P) > QS (P) there is excess demand,
Excess supply and excess demand and price pressure When the quantity demanded in the market exceeds the quantity supplied at a given price, QD (P) > QS (P) there is excess demand, and the price will tend to rise.
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Excess demand and excess supply and price pressure
When the price in the market rises, quantity demanded falls & quantity supplied rises until an equilibrium is reached at which quantity demanded equals quantity supplied.
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The process of price rising so that
excess demand falls to zero is called price rationing
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Graphical analysis of excess supply
QS (P) > QD (P) Supply = Demand 3.5 Price 3 S0 Price Falls 2.5 D0 2 1.5 1 0.5 2000 4000 6000 8000 10000 12000 Quantity
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Graphical analysis of excess demand
Supply = Demand 3.5 Price Price Rises 3 S0 2.5 D0 2 1.5 1 QD (P) > QS (P) 0.5 2000 4000 6000 8000 10000 12000 Quantity
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Algebraic analysis of supply and demand
Equilibrium Supply = Demand To find an equilibrium in a market: 1. Set supply equal to demand and solve for P. 2. Substitute P in the supply and demand equations to get the quantities.
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Example Demand Equation
QD = P
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Demand QD = 20 - 2P D0 Price Quantity 14 12 10 8 6 4 2 2 4 6 8 10 12
2 4 6 8 10 12 14 16 18 20 22 24 Quantity
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Example Supply Equation
QS = P
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Supply S0 QS -4 + 2P Price Quantity 14 12 10 8 6 4 2 2 4 6 8 10 12 14
2 4 6 8 10 12 14 16 18 20 22 24 Quantity
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Demand and Supply QD = 20 - 2P QS = -4 + 2P D0 S0 Price Quantity 14 12
10 D0 8 6 4 2 2 4 6 8 10 12 14 16 18 20 22 24 Quantity
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Example Calculation 6 = P
Set supply equal to demand and solve the equation for P. QD = P = P = QS 20 - 2P = P 24 - 2P = 2P +2P +2P QD = P = 20 – 2(6) = 8 24 = 4P 24 = 4P 4 4 6 = P
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Some notes on solving equations
We get equivalent equations if on both sides of the equality sign we do the following: a. add the same number b. subtract the same number c. multiply by the same number 0 d. divide by the same number 0.
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Comparative Statics or
What happens when things change Demand Shifts Increases in demand (shifts to the right) will increase the equilibrium price and quantity. Decreases in demand (shifts to the left) will decrease the equilibrium price and quantity.
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Changes in Demand S0 D0 D1 D2 Price Quantity 16 14 12 10 8 6 4 2 5 10
5 10 15 20 25 Quantity
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Supply Shifts Increases in supply (shifts to the right)
will decrease the equilibrium price and increase the equilibrium quantity. Decreases in supply (shifts to the left) will increase the equilibrium price and decrease the equilibrium quantity.
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Changes in Supply D0 S0 S2 S1 Quantity Price 14 12 10 8 6 4 2 5 10 15
5 10 15 20 Quantity
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Price Ceilings A price ceiling occurs when some outside force
sets a price for the market that is below the equilibrium price. When quantity supplied & quantity demanded differ, the short side of the market — whichever of the two quantities is less — will prevail.
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Price Ceiling D0 Supply Demand Queuing S0 Price Quantity
3.5 Price Queuing 3 S0 2.5 D0 2 1.5 1 QD (P) > QS (P) 0.5 2000 4000 6000 8000 10000 12000 Quantity
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The results: Queuing Shortages A black market
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Price Floors A price floor occurs when some outside force
sets a price for the market that is above the equilibrium price. When quantity supplied & quantity demanded differ, the short side of the market — whichever of the two quantities is less — will prevail.
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Price Floor D0 Demand Supply Excess Supply S0 QS (P) > QD (P)
3.5 Price Excess Supply 3 S0 2.5 D0 2 1.5 1 0.5 2000 4000 6000 8000 10000 12000 Quantity
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The results: Excess supply Unemployment
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