作业帮中级微观经济学——垄断,学渣渣我中微其中挂了~各种桑心!1、Monopoly equilibrium for D(p) = 100/p and c(y) = y^2 2、Monopoly equilibrium for D(p) = 10p−3and c(y)=2y.Monopoly equilibrium for D(p) = a –bp and c(y)= cy.Mon
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中级微观经济学——垄断,学渣渣我中微其中挂了~各种桑心!1、Monopoly equilibrium for D(p) = 100/p and c(y) = y^2 2、Monopoly equilibrium for D(p) = 10p−3and c(y)=2y.Monopoly equilibrium for D(p) = a –bp and c(y)= cy.Mon
中级微观经济学——垄断,学渣渣我中微其中挂了~各种桑心!
1、Monopoly equilibrium for
D(p) = 100/p
and c(y) = y^2
2、Monopoly equilibrium for
D(p) = 10p−3and
c(y)=2y.
Monopoly equilibrium for
D(p) = a –bp and
c(y)= cy.
Monopol y equilibrium for
constant demandelasticity e and c(y)= cy.
3、Tax on monopolist who has constant marginal cost and is facing linear demand function
4、Tax on monopolist who
has constant marginal cost
and is facing constant
elasticity demand
function.
中级微观经济学——垄断,学渣渣我中微其中挂了~各种桑心!1、Monopoly equilibrium for D(p) = 100/p and c(y) = y^2 2、Monopoly equilibrium for D(p) = 10p−3and c(y)=2y.Monopoly equilibrium for D(p) = a –bp and c(y)= cy.Mon
1.
TR = p*Q = 100
MR = dTR/dQ = 0
MC = dc(Q)/dQ = 2Q
MR = MC
Q = 0
2.
p = 0.1*Q + 0.3
TR = p*Q = 0.1*Q^2 + 0.3*Q
MR = dTR/dQ = 0.2*Q + 0.3
MC = dc(Q)/dQ = 2
MR = MC
0.2*Q + 0.3 = 2
Q = 8.5
p = a/b - Q/b
TR = p*Q = (a/b)*Q - Q^2/b
MR = dTR/dQ = a/b - 2*Q/b
MC = dc(Q)/dQ = c
MR = MC
a/b - 2*Q/b = c
Q = (a - b*c)/2
3.
Before tax,
MC = c
Q = D(p) = a - b*p
p = a/b - Q/b
With tax t per unit,effective demand function is,
p = a/b - Q/b - t
TR = p*Q = (a/b-t)*Q - Q^2/b
MR = dTR/dQ = a/b - t - 2Q/b
MR = MC
a/b - t - 2Q/b = c
Q = (a - b*t - b*c)/2
p = (a/b - t + c)/2
So in order to achieve a desired price p,tax should be
t = a/b + c - 2p
4.
Becore tax,
MC = c
Q = D(p) = a*p^b
p = (Q/a)^(1/b)
With tax t per unit,effective demand function is
p = (Q/a)^(1/b) - t
TR = Q*p = Q^(1+1/b)/a^(1/b) - Q*t
MR = dTR/dQ = (1+1/b)*(Q/a)^(1/b) - t
MR = MC
(1+1/b)*(Q/a)^(1/b) - t = c
Q = a*[(c+t)/(1+1/b)]^b
p = (c+t)/(1+1/b) - t = (c+t/b)/(1+1/b)
t = (1+b)*p - b*c