Marginal product of labor ( MPL )

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slide 1 Marginal product of labor Marginal product of labor ( ( MPL MPL ) ) def: The extra output the firm can produce using an additional unit of labor (holding other inputs fixed): MPL = F (K, L +1) F (K, L)

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Marginal product of labor ( MPL ). def: The extra output the firm can produce using an additional unit of labor (holding other inputs fixed): MPL = F ( K , L + 1 ) – F ( K , L ). Determine MPL at each value of L Graph the production function - PowerPoint PPT Presentation

Transcript of Marginal product of labor ( MPL )

Page 1: Marginal product of labor ( MPL )

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Marginal product of labor (Marginal product of labor (MPLMPL))

def:The extra output the firm can produce using an additional unit of labor (holding other inputs fixed):

MPL = F (K, L +1) – F (K, L)

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Exercise: Exercise: compute & graph MPLcompute & graph MPL

a. Determine MPL at each value of L

b. Graph the production function

c. Graph the MPL curve with MPL on the vertical axis and L on the horizontal axis

L Y MPL0 0 n.a.1 10 ?2 19 ?3 27 84 34 ?5 40 ?6 45 ?7 49 ?8 52 ?9 54 ?

10 55 ?

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answers:answers:

Production function

0

10

20

30

40

50

60

0 1 2 3 4 5 6 7 8 9 10

Labor (L)

Out

put

(Y)

Marginal Product of Labor

0

2

4

6

8

10

12

0 1 2 3 4 5 6 7 8 9 10

Labor (L)M

PL

(u

nit

s o

f o

utp

ut)

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Youtput

The MPL and the production The MPL and the production functionfunction

Llabor

F K L( , )

1

MPL

1

MPL

1MPL As more labor

is added, MPL

Slope of the production function equals MPL

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Consumption (Consumption (CC))

• durable goods last a long time ex: cars, home appliances

• non-durable goodslast a short time ex: food, clothing

• serviceswork done for consumers ex: dry cleaning, air travel.

def: the value of all goods and services bought by households. Includes:

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U.S. Consumption, 2001U.S. Consumption, 2001

$ billions

% of GDP

Consumption $7,064.5 69.2%

Durables 858.3 8.4

Nondurables 2,055.1 20.1

Services 4,151.1 40.7

$ billions

% of GDP

Consumption $7,064.5 69.2%

Durables 858.3 8.4

Nondurables 2,055.1 20.1

Services 4,151.1 40.7

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Investment (Investment (II))

def1: spending on [the factor of production] capital.def2: spending on goods bought for future use.Includes: business fixed investment

spending on plant and equipment that firms will use to produce other goods & services

residential fixed investmentspending on housing units by consumers and landlords

inventory investmentthe change in the value of all firms’ inventories

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U.S. Investment, 2001U.S. Investment, 2001

$ billions

% of GDP

Investment $1,633.9 16.0%

Business fixed 1,246.0 12.2

Residential fixed 446.3 4.4

Inventory -58.4 -0.6

$ billions

% of GDP

Investment $1,633.9 16.0%

Business fixed 1,246.0 12.2

Residential fixed 446.3 4.4

Inventory -58.4 -0.6

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Government spending (Government spending (GG))

G includes all government spending on goods and services.

G excludes transfer payments (e.g. unemployment insurance payments), because they do not represent spending on goods and services.

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Government spending,Government spending, 2001 2001

$ billions

% of GDP

Gov spending $1,839.5 18.0%

Federal 615.7 6.0

Non-defense 216.6 2.1

Defense 399.0 3.9

State & local 1,223.8 12.0

$ billions

% of GDP

Gov spending $1,839.5 18.0%

Federal 615.7 6.0

Non-defense 216.6 2.1

Defense 399.0 3.9

State & local 1,223.8 12.0

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Net exports (Net exports (NX = EX - IMNX = EX - IM))

def: the value of total exports (EX) minus the value of total imports (IM)

U.S. Net Exports, 1960-2000

-400

-350

-300

-250

-200

-150

-100

-50

0

50

1960 1965 1970 1975 1980 1985 1990 1995 2000

$ b

illio

ns

U.S. Net Exports, 1960-2000

-400

-350

-300

-250

-200

-150

-100

-50

0

50

1960 1965 1970 1975 1980 1985 1990 1995 2000

$ b

illio

ns

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CASE STUDYCASE STUDY

The Reagan DeficitsThe Reagan Deficits

Reagan policies during early 1980s: increases in defense

spending: G > 0 big tax cuts: T < 0

According to our model, both policies reduce national saving:

( )S Y C Y T G

G S T C S

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1. The Reagan deficits1. The Reagan deficits, cont., cont.

r

S, I

1S

I (r )

r1

I1

r22. …which causes

the real interest rate to rise…

I2

3. …which reduces the level of investment.

1. The increase in the deficit reduces saving…

2S

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Are the data consistent with these results?Are the data consistent with these results?

variable 1970s 1980s

T – G –2.2 –3.9

S 19.6 17.4

r 1.1 6.3

I 19.9 19.4

variable 1970s 1980s

T – G –2.2 –3.9

S 19.6 17.4

r 1.1 6.3

I 19.9 19.4

T–G, S, and I are expressed as a percent of GDP

All figures are averages over the decade shown.