CLASS REVIEW (Chp 5-Chp 7)

ECON 301 June 23, 2004

SUMMER 2004

XUE QIAO

Chapter 5: Applying Consumer Theory

► Deriving demand curve: For any given price, we can apply consumer constrained choice to derive the optimal consumption bundle. Find the combination of (), and plot it, then we derive the demand curve.

------To derive it numerically, use formula

which can also be rewritten as

The above formula will derive a equation about optimal consumption bundle, then put this equation back into budget constraint, then we can find

().

► Income change: cause Budget constraint to shift.

------optimal consumption

------Income-consumption curve

------Engle curve: upward sloping implies normal good,

downward sloping: inferior good.

------Income elasticity: : >0, then normal good

<0, then inferior good.

► Price change: Total effect = substitution effect + income effect

------Decompose TE into SE and IE:

Step 1: draw a budget line BL* parallel to the new BL, and tangent to

Initial indifference curve, then we have a new tangent point e*.

Step 2: The movement from (the tangent point between initial IC and

Initial budget constraint) to measures the SE.

Step 3: The movement from e* to ( the tangent point between new BC

And new IC) measures the IE.

Note: Be careful about the direction.

SE=

IE=

TE=

------Consider the case when price of good x drops:

Normal good: SE:

IE: Then TE >0

Inferior good: SE:

IE: Then TE > 0 if

TE < 0 if (Giffen good)

► Derive Labor supply curve

------H=24-N

------Derive leisure demand curve by applying consumer constrained choice

------Labor supply =24-demand curve of leisure

------Properties of leisure decides the shape of labor supply curve

When wage is low, people view leisure as an inferior good:

W increases, labor supply increase

When wage is high, people view leisure as a normal good:

W increases, labor supply decrease

So labor supply will increase first then start to decrease, i.e., upward

Sloping first, then downward sloping.

Chapter 6: Firm and production

► Production function is defined as the maximum output by using existing inputs, so this definition implies efficient production process.

------short-run: capital is fixed

------long-run: labor and capital can both be varied.

► Short-run production:

------TP, ,AP

------the shapes of these three definitions

------properties of these three definitions and how to show them graphically

------Diminishing marginal returns: is decreasing when L increases.

► Long-run production:

------isoquant:

------slope of isoquant: , and MRTS is decreasing

------shape of isoquant: straight line: perfect substitutes

right-angle : perfect complement

convex: imperfect substitutes

► Return to scales:

------Def:

------Tell the “return to scales” from graph: given several isoquants and

corresponding inputs bundles.

------Return to scales can be varied across firm’s size: IRS for small

CRS for moderate

DRS for large

Chapter 7: Costs

► Measuring cost: economical cost=explicit cost + opportunity cost

► Short-run cost: capital is fixed, so we have a nonzero FC.

------7 Defs: FC, VC, TC, AFC, AVC, AC, MC

TC=VC+FC, AC=AVC+AFC, AFC=FC/Q, AVC=VC/Q,

MC=

------Properties of these 7 curves and relationship among them

------Be able to show them graphically.

------Effect on cost of a government specific tax & franchise fee.

► Long-run cost: FC=0

------isocost line:

------slope of isocost:

------derive the cost-minimizing bundles of inputs:

or Lowest isocost line

or Last dollar rule.

------Shape of Long-run cost(LRC), Long-run Average cost(LRAC), MC

------depends on “return to scales”:

CRS: LRC: upward-sloping straight line

LRAC & MC: constant

IRS: LRC: increasing, but slope is decreasing

LRAC & MC: decreasing

DRS: LRC: increasing, but slope is increasing

LRAC & MC: increasing

------the part where LRAC is decreasing is called “economies of scale”

increasing “diseconomies ….”

Constant “ no economies …”

------Long-run expansion path and short-run expansion path

Read practice IV.