Topic 3 Flashcards
(136 cards)
What are the factors of production?
Capital (K)
Labour (N)
Others (raw materials, land, energy etc)
What does the productivity of factors of production depend on?
Technology and management
What is the equation of the production function?
π = π΄πΉ(πΎ, π)
What is parameter A in the productivity function?
Parameter π΄ represents the total factor productivity β a measure of the effectiveness with which capital and labour are used
What is the equation of the Cobb-Douglas production function?
π = π΄πΎ^πΌ x π^1βπΌ
Where πΌ β 0,1 (i.e., 0 < πΌ < 1)
What is the Cobb-Douglas production function characterised by?
This production function is characterised by Constant Returns to Scale (CRS)
What happens when you multiply the Cobb-Douglas production by lamda?
Total output is multiplied by lamda
What are the main two properties of the production function?
Slopes upward: more of any input produces more output
Slope becomes flatter as input rises: diminishing marginal product as input increases
What is on the axis of the production function?
Y-axis = Output, Y
X-axis= Capital, K
Consider π = π΄πΉ(πΎ, π), how do you calculate the marginal product of capital (MPK)? (2)
πππΎ =Ξπ/ΞK
πππΎ = π΄ ππΉ / πK
What is the MPK equal to?
The slope of the production function
How do you represent the MPK as a function?
MPK(.) where the dot is in the middle and it represents an independent variable
What are the assumptions of MPK? (2)
πππΎ is always positive
πππΎ declines as πΎ increases (diminishing marginal productivity of capital)- upwards concave
Consider π = π΄πΉ(πΎ, π), what is the marginal product of labour (MPL)? (2)
πππ =Ξπ / ΞN
πππ = π΄ ππΉ / πN
What is the MPN equal to?
πππ is equal to the slope of the production function graph
What are the assumptions of MPN? (2)
πππ is always positive
πππ declines as π increases (diminishing marginal productivity of labour)
How do you calculate MPK using the Cobb-Douglas function?
Consider the production function π = π΄πΎ^πΌ x π^(1βa).
πππΎ =ππ (β) / ππΎ =
πΌπ΄πΎ^ (πΌβ1) x π(^1βπΌ)
= πΌπ΄ (π / πΎ)^(1βπΌ)
MPK = πΌπ΄ (π / πΎ)^(1βπΌ), what happens as K rises?
What happens when A rises?
What type of function is MPK in terms of N?
As K rises, MPK falls.
As A increases, MPK increases.
MPK is an increasing function of N.
How do you calculate MPN using the Cobb-Douglas function?
Consider the production function π = π΄πΎ^πΌ x π^(1βa).
ππN =ππ (β) / πN =
(1 - πΌ)A(K / N)^πΌ
MPN= (1 - πΌ)A(K / N)^πΌ, what happens as N rises?
What happens as K rises?
What happens as A rises?
As N rises, MPN falls.
As K rises and π²/π΅ is higher, MPN also rises.
As A rises, MPN increases.
What is a supply shock?
A change in an economyβs production function
What do supply shocks affect?
Supply shocks affect the amount of output that can be produced for given quantities of capital and labour
What is a positive supply shock?
The economy produces more output (Y) for given quantities of capital (K) and labour (N).
What is a negative supply shock?
The economy produces less output (Y) for given quantities of capital (K) and labour (N)