Lecture 2.3 Flashcards
Maximizing profit via optimal use of inputs
MVP=MFC
Principle of Maximizing profits or allocating resources given constraints
equimarginal principle
shows various combination of inputsthat entail same cost
Budget line
budget line is mathematically expressed as
C0= v1x1+v2x2
slope of isoquant= slope of isocost line
mpp1/mpp2 = v1/v2
point of tangency duality
combination of inputs that will produce greatest quantity of output, given expenditure represented by C0
Least cost combination of inputs that can be used to produce y0
path traced by producers, connects all points on isoquant map where slope of isoquant equal isocost
expansion path
expansion path equation
x2= b2v1/b1v2 x1
Ensures that if the farm is not operating on the point of profit maximization, costs are minimized, maximum output is produced
equimarginal return principle
true or false equimarginal principle requires farmers operate using combination of inputs such that shadow prices of inputs are equal
true
2 components of constrained optimization problem
objective function and constraint function
what should the farmer do whenthe multipliers are not equal
should reallocate
what does it mean when one multiplier is greater than the other
that input is more productive
shadow price
MVP/V
output maximization subject to budget constraint soc
H>0 positive
unconstrained
global maximum
constrained
local max
multiplier interpretation output maximization wrt budget con
the quantity that arise from the last peso spent on input
cost minimization subject to a target level output
minimize v1x1+v2x2 subject to fx1x2=y0
max output subject to budget constraint
L=fx1x2- theta (v1x1+v2x2-C0)
cost minimization subject to target output level soc
negative determinant
cost min. subject to target output level multiplier
cost of producing the last unit of output
revenue max wrt budget constraints
R=pfx1x2
subject to v1x1+v2x2=c0
revenue max wrt budget constraint multiplier
the additional revenue form the last peso spent on inputs