ECON 282: Chapter 3 Flashcards
The Production Function Y=F(K,L)
-Shows how much output (Y) the economy can produce from K units of capital and L units of Labour
-Reflects the economy’s level of technology
-Exhibits constant returns to scale
Returns to SCALE:
-Initally, Y1=F(K1, L1)
Scale all inputs by the same factor z:
If constant returns to scale, Y2 = zY1
If increasing returns to scale, Y2 >zY1
If decreasing returns to scale, Y2 < zY1
Assumptions
- Technology is fixed
- The economy’s supplies of capital and labour are fixed at:
K bar and L bar
The distribution of national income
-determined by factor prices, the prices per unit firms pay for the factors of production
wage = price of L
rental price = price of K
Notation: W, R, P, (W/P), (R/P)
W= nominal wage
R = nominal rental rate
P = price of output
W/P = real wage
R/P = real rental rate
Demand for labour
-Assumes that markets are competitive, each firm takes W, R, and P as given
-A firm hires each unit of labour if the cost does not exceed the benefit
cost = real wage
benefit = marginal product of labour
Marginal Product of Labour
The extra output the firm can produce using an additional unit of labour (holding other inputs fixed)
MPL = F(K,L +1) - F(K,L)
Diminishing Marginal Returns
-As one input is increased (holding other inputs constant) its marginal product falls
- If L increases while holding k fixed, machines per worker falls, worker productivity falls
Determining the rental rate
-MPL = W/P
- The same logic shows that MPK = R/P
Diminishing returns to capital: MPK falls as K rises
-The MPK cure is the firms demand curve for renting capital
Firms maximise profits by choosing K such that MPK = R/P
Neoclassical theory of distribution
-States that each factor input is paid its marginal product
How Income is distributed to L and K
Total capital income: W/PxL=MPLxL
Total capital income=R/PxK=MPKxK
Cobb-Douglas Production Function
a = capitals share of total income
capital income = MPK x K = aY
Explanation for rising inequality
-Technological progress has increased the demand for skilled relative to unskilled workers
-Rise in self-employment rates and a fall in the number of hours worked for low-skill
Disposable income
Total income minus total taxes: Y-T
Consumption function
C=C(Y-T)