YEAR # of Passenger cars sold In- tro- duc- tory Pe- riod Growth Period Mature Period Declining Period Factory Sales of Passenger Cars in the U.S.
DEMAND What Buyers are Willing and Able to Buy, during a given Time Period, ceteris paribus.
KEY POINTS ABOUT DEMAND l “WILLINGNESS AND ABILITY” (not stridently wanting) l “BUYERS” (not sellers) l “during a given time period” is a FLOW (not a STOCK) l “ceteris paribus”- all other things are held constant except price and quantity. l Whole set of P-Q combinations (not QUANTITY DEMANDED)
GENERALIZED DEMAND FUNCTION f = f( Price: Taxes, Price of Complements Price of Substitutes Tastes for good/service Income, Buyer Expectations, Number of buyers) Q P
SUPPLY What Buyers Sellers are Willing and Able to buy Sell, during a given Time Period, ceteris paribus. XXXXX XXX
KEY POINTS ABOUT SUPPLY l “WILLINGNESS AND ABILITY” (not stridently wanting) l “BUYERS” (not sellers) l “during a given time period” is a FLOW (not a STOCK) l “ceteris paribus”- all other things are held constant except price and quantity. l Whole set of P-Q combinations (not QUANTITY DEMANDED) XXXXXXXXXXXXXXXXXXX Sellers (not buyers) XXXXXXXXXXX SUPPLIED
GENERALIZED SUPPLY FUNCTION f = f( Price: Price of Resources Technology, Seller Expectations, Number of Sellers)
HOW TO BE SHERLOCK HOLMES IN READING BETWEEN THE LINES If You Know P and Q then you know whether demand or supply is involved as well as the direction of the shift. If You Know the shift in demand or supply, then you know what is likely to happen to price and quantity If You Know the determinant that has changed and price, then you know what is happening to quantity demanded. If You Know the determinant that has changed and quantity demanded, then you know what is happening to price.
Lower Price Higher Price Lower Output Higher Output Leftward (downward) Shift of Demand Rightward (upward) Shift of Demand Rightward (downward) Shift of Supply Leftward (upward) Shift of Supply Breakdown all shifts into their output and price vectors
MARKET BOUNDARIES l BUYER POINT OF VIEW: No potential seller exists outside of the market boundaries (within a reasonable price range) l SELLER POINT OF VIEW: No potential buyer exists outside of the market boundaries (within a reasonable price range) l BOTH POINTS OF VIEW MUST HOLD l CROSS PRICE ELASTICITY measures
MARKET BOUNDARIES X X X X X O O O X represents buyers O represents sellers
MARKET DEMAND FOR CARS Price ($1000/car) U.S quantity (mill/yr) + Foreign Q (mill/yr) = Market Demand
MUSTANG DEMAND DEMAND (000’s Mustangs/year) Price of Mustangs TR= $1426 million TR= $4400 Million LOSS GAIN GAINS-LOSS=$2974 M.
MARGINAL REVENUE (MR) MR DEMAND (000’s Mustangs/year) Price GAINS-LOSS MR= CHANGE IN CARS $2974 M./400,000 CARS =$7,435 PER CAR LOSS 7435 GAIN
REVENUE MAXIMIZATION MR DEMAND (000’s Mustangs/year) Price ,334,000 MUSTANGS
(000’s Mustangs/year) MR=0 Price ($/car) ,334,000 MUSTANGS Q (000’s Mustangs/year) Total Revenue ($/year) $6.5 billion MAXIMUM REVENUE MR>0 |elas|>1 |elas|= 1 |elas|<1 MR<0
MUSTANG DEMAND DEMAND 150 (000’s Mustangs/year) 9510 Price of Mustangs DEMAND 1970 DEMAND
DEMAND ELASTICITY l ALWAYS THE PERCENTAGE CHANGE IN QUANTITY DIVIDED BY THE PERCENTAGE CHANGE IN A DETERMINANT OF DEMAND l NOT THE SAME AS MARGINAL REVENUE WHICH IS THE CHANGE IN REVENUE OVER THE CHANGE IN QUANTITY
PRICE ELASTICITY E p = PERCENTAGE CHANGE IN QUANTITY PERCENTAGE CHANGE IN PRICE Q1-Q2 Q1+Q2 P1-P2 P1+P2 = Note: This formula requires the knowledge of two different situations; The price (P1) and quantity demanded (Q1) in an initial situation and A price (P2) and quantity demanded (Q2) after a change has occurred
E p = Q1-Q2 Q1+Q2 P1-P2 P1+P2 IN EXCEL: Suppose you have the EXCEL worksheet: A B C D 1Quan tity 3 5 2Price E = 4 In C3, write the formula: =((B1-C1)/(B1+C1))/((B2-C2)/(B2+C2)) IT IS UNIT ELASTIC!
E p = Q1-Q2 Q1+Q2 P1-P2 P1+P2 IN EXCEL: Suppose you have the EXCEL worksheet: A B C D 1Quan tity 3 5 to 6 2Price E = In C3, write the formula: =((B1-C1)/(B1+C1))/((B2-C2)/(B2+C2)) XXX NOW IT IS ELASTIC!
E p = Q1-Q2 Q1+Q2 P1-P2 P1+P2 IN EXCEL: Suppose you have the EXCEL worksheet: A B C D 1Quan tity 3 5 to 4 2Price E = In C3, write the formula: =((B1-C1)/(B1+C1))/((B2-C2)/(B2+C2)) XXX NOW IT IS INELASTIC!
TOTAL REVENUE RULE IF PRICE RISES THEN: IF PRICE FALLS THEN: ELASTIC (MR>0,|E|>1) UNIT ELASTIC (MR=0,|E|=1) INELASTIC (MR<0,|E|<1 IF ELASTI- CITY IS: TR TR stays same TR
REVENUE MAXIMIZATION MR DEMAND (000’s Mustangs/year) Price ,334,000 MUSTANGS LOSS GAIN 4000 BIG LOSS IN REVENUE IF PRICES BELOW REV- ENUE MAXIMIZING PRICE
CROSS-PRICE ELASTICITY E X,Y = PERCENTAGE CHANGE IN QUANTITY (X) PERCENTAGE CHANGE IN PRICE OF ANOTHER GOOD (Y) Qx-Qx Qx+Qx Py-Py Py+Py =
CROSS-PRICE ELASTICITY l Exy x and y are complements l Exy>0 ===> x and y are substitutes (or in same market) l Exy =0 ==> x and y are unrelated
MARKET BOUNDARIES X X X X X O O O X represents buyers O represents sellers U represents your firm U N N represents a new firm Cross Price Elasticity w.r.t. New Firm?
MARKET BOUNDARIES X X X X X O O O X represents buyers O represents sellers U represents your firm U N represents a new firm Cross Price Elasticity w.r.t. New Firm? N Positive, Negative, or Zero
Percentage Change
INCOME ELASTICITY E Y = PERCENTAGE CHANGE IN QUANTITY PERCENTAGE CHANGE IN INCOME Q1-Q2 Q1+Q2 Y1-Y2 Y1+Y2 =
INCOME ELASTICITY l Ey An INFERIOR GOOD l Ey>0 ===> A NORMAL GOOD Ey >1 ==> A SUPERIOR GOOD 0 A NECESSITY
Percentage Change
MR=0 Price ($/car) Q (000’s Mustangs/year) MR>0 |elas|>1 |elas|= 1 |elas|<1 MR<0 Price ($/car) Q (000’s Mustangs/year) LIINEAR DEMAND MAXIMUM REVENUE MULTIPLICATIVE DEMAND CONSTANT REVENUE FLAT MARGINAL REVENUE CURVE
Q MULTIPLICATIVE DEMAND Price ($/car) (000’s Mustangs/year)