Page 2 - Microeconomics
P. 2

BUDGET LINE                                       P                             • Consumer surplus is the area below the demand curve
                                                                                    above the market price.
             B                                                                      • For a given price of a good, there will be some sellers
                  Budget Line                                 Inelastic             who are willing to sell at a lower price. These sellers
                                                              Range
                                                     Price Level  Demand            • Therefore,  society’s  welfare  is  maximized  with  the
                                                                                    are receiving extra revenue (producer surplus), since the
                                                                                    price is higher than their willingness to sell.
                                                                                    market clearing price.
                                                       Elastic                      • Both  consumers  and  suppliers  gain  all  available
                                                       Range
                                                                      Q             benefits and revenues. Intervention in the market
                                                               Quantity             (such as taxation, price floors and price ceilings)
                              A                      TR                             lowers society benefits and creates deadweight loss.
    • BUDGET LINE or BUDGET CONSTRAINT is the                                       EFFECT OF A SALES TAX
    level  of  income  that  the  consumer  needs  to  allocate   Elastic  Inelastic              New Consumer Surplus
    between goods A and B. Equation: Income = (P A  × Q A )   Total Revenue  Range  Range                  1
    + (P B  × Q B ).                                                 Total                                S
    • BUDGET LINE SLOPE                                              Revenue             New P*                    S
                                                                                               A
           I                                                          Q                              C
          P B           I   I   P                              Quantity                         B
                 Slope = –   = –   A                                                                            D
                       P B  P A  P B        ELASTICITY & REVENUE                                      New
                                                      TOTAL REVENUE (TR)                              Producer Surplus
                                                       Price Increase  Price Decrease
                                            Elastic    TR    ↓    TR    ↑                         New Q*
                                            Unitary Elastic  TR  unchanged  TR unchanged  • A SALES TAX SHIFTS THE SUPPLY CURVE TO
                             I              Inelastic   TR   ↑    TR    ↓           THE LEFT.
                            P A                                                     1. A + B = government revenue
                                            ELASTICITY & TAX BURDEN                 2. C = deadweight loss
                                            • If  the  supply  curve  is  more  elastic  than  the  demand
    UTILITY MAXIMIZATION                    curve, consumers carry more of the tax burden.    Area  C  used  to  be  part  of  consumer  and  producer
                                            • If  the  demand  curve  is  more  elastic  than  the  supply   surplus.  With  the  tax  and  the  new  equilibrium
                  I                         curve, suppliers carry more of the tax burden.  price (P*) and quantity (Q*), neither the consumer,
                                                                                      producer nor the government gets this area.
                                            • If  the  supply  (demand)  curve  is  perfectly  elastic,
                         IV
                       II                   consumers (suppliers) carry ALL of the tax burden.
             B*                             • If  the  supply  (demand)  curve  is  perfectly  inelastic,   PRODUCTION THEORY
                                            suppliers (consumers) carry ALL of the tax burden.
                            III             ELASTICITY AS A DESCRIPTOR              ISOQUANT
                                                                                    • ISOQUANT:  Curve  representing  production.  It
                                            • If  |∈| A   >  |∈| B ,  |∈| A   is  more  ELASTIC  than  |∈| B   at
                      A*                    given price levels.                     is  similar  to  an  indifference  curve,  but  instead  of
    • Consumer will not choose I or III because the utility     EX:                 consumption  that  creates  utility,  producer  combines
                                                                                    inputs (K, L) to create output (Q).
    derived  is  not  maximized.  Consumer  will  choose  II   1. –0.34 is more ELASTIC than –0.2
    where  the  utility  curve  is  tangent  to  the  budget  line.   2. –9.3 is more ELASTIC than –5.6  Capital (K)
    Point IV is currently not available.      The FLATTER the curve, the more elastic the curve
    • Slopes are equal at the tangency point.  at every price level.                                   Q = f(K, L)
                           P   MU             The  STEEPER  the  curve,  the  more  inelastic  the
    • Budget Line slope = IC slope       A  =  A  curve at every price level.
                           P B  MU B                                                           I            Q = 300
    • Consumers allocate their budget to equate the utility received   CROSS-PRICE ELASTICITY               Q = 200
    from the marginal dollar spent on each good consumed.  RESPONSIVENESS  OF  QUANTITY  DEMAND  OF   II
    • UTILITY AND THE LAW OF DEMAND         GOOD x TO A CHANGE IN THE PRICE OF GOOD y.                      Q = 100
                                                                y +
                                                               P
                                                          Qx
                                                      Qx −
                                                                   Py
      Relationship:  As  the  price  of  a  good  increases,   • FORMULA:   2  1  ×  2  1                    Labor (L)
    the  utility  of  the  marginal  dollar  spent  on  the  good     RULES:  Qx + Qx 1  Py − Py 1  Higher ISOQUANTS mean higher output. On a single
                                                                 2
                                                        2
    decreases,  since  the  marginal  dollar  buys  less  of  the   1. ∈ XY  > 0: x, y ARE SUBSTITUTES  ISOQUANT, output is unchanged.
    good.  The  consumer  reallocates  the  marginal  dollar   2. ∈ XY  < 0: x, y ARE COMPLEMENTS  EX: Q I  = Q II  = 100
    away from the good, causing quantity demanded to fall     In this case, because x and y need to be used together, the   SLOPE = – (MP L  / MP K ), where MP = MARGINAL
    in line with the Law of Demand.           behavior is similar to Price Elasticity of Demand for one   PRODUCT
                                              good. Note: DO NOT USE ABSOLUTE VALUE!  • SPECIAL FORMS OF ISOQUANTS
                                            INCOME ELASTICITY OF DEMAND                  Capital (K)
    ELASTICITY                              RESPONSIVENESS  OF  QUANTITY  DEMAND  TO  A
    PRICE ELASTICITY OF DEMAND              CHANGE IN INCOME.
    RESPONSIVENESS OF QUANTITY DEMANDED TO   • FORMULA:   Q −  Q 1  ×  I + I 1
                                                       2
                                                              2
    A CHANGE IN PRICE.                        RULES:  Q +  Q 1  I − I 1
                                                       2
                                                              2
    • SIMPLE  FORMULA:  The  absolute  value  of  %   1. ∈ IE  > 0, NORMAL GOOD
    change in quantity demanded ÷ % change in price.  2. ∈ IE  < 0, INFERIOR GOOD
                        Q −  Q  P + P
    • MIDPOINTS FORMULA:   2  1  ×  2  1    CONSUMER SURPLUS & PRODUCER
                        Q +  Q 1  P − P 1   SURPLUS                                                           Labor (L)
                                2
                         2
    • TYPES OF ELASTICITY (∈):              • For a given price of a good, there will be some consumers   Perfect Substitutes
    1. PERFECTLY ELASTIC   |∈| = ∞          who  are  willing  to  pay  more.  These  consumers  are
    2. ELASTIC           |∈| > 1            receiving a benefit (consumer surplus), since the price   Capital (K)
    3. UNITARY ELASTIC   |∈| = 1            is lower than their willingness to pay.
    4. INELASTIC         |∈| < 1                          P
    5. PERFECTLY INELASTIC  |∈| = 0                             Consumer
    • STRAIGHT LINE DEMAND CURVES are elastic                   Surplus (CS)
    at prices above the midpoint and inelastic at prices
    below it.                                                        Supply
    • VERTICAL  DEMAND  CURVES  are  perfectly    Market Price
    inelastic.                                   Producer             Demand
    • HORIZONTAL  DEMAND  CURVES  are  perfectly   Surplus (PS)                                               Labor (L)
    elastic.                                                              Q                    Perfect Complements
                                                              2
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