econ equations Flashcards
what is the douglas cobb function
AL^aK^b
what is the MRS formula of the douglas cobb function
-bL/aK
how does MRS relate to marginal utility
MRS = -MUl/MUk
what is the budget constraint function
PyY+PxX
how does MU relate to price
MUy/Py = MUx/px
APL formula
APL = q/L
what is the cost function
c = wL + rK
how do w and r relate to mrts
w/r = MPL/MPK = -MRTS
what is the elasticity of residual demand
Ei = nE - (n-1)Ns
how do you find the price of a cournot eq.
a+nm/n+1
how do you find the q of a cournot eq.
a-m/b(n+1)
what is a formula for profit involving p,mc and q
prof = (P1-MC1)q1
what is the stackelberg eq. quantity for a leader
q1 = a-m/2b
what is the stackelberg eq. quantity for a follower
q2 = a-m/4b
what is the last dollar rule
MPL/w = MPK/r