Population Growth rate, n

Captial Depreciation rate, d

Savings Rate, s

Per-worker production
function, y=f(k)

Steady-state investment
per worker, (n+d)k

Consumption

Savings

Consumption

Consumption 
per worker, c

Capital-labor ratio, k

Captial-labor ratio, k

Output per 
worker, y

Savings per
worker, sf(k)

    Golden Rule capital-labor ratio
(together with golden-rule savings rate)

k

f(k)

Solow Growth Model

A = Point(yAxis)
B = Point(yAxis)
C = Point(yAxis)
D = Point(yAxis)
E = Point(xAxis)
F = (8, 6)
a = Segment(C, F)
b = Segment(D, C)
c = Segment(B, A)
f(x) = 3 * x^(1 / 3) + 6
d = Segment(A, E)
n = 0.45 (slider from 0.4 to 0.8, step 0.05)
m = 0.6 (slider from 0.4 to 0.8, step 0.05)
s = 0.48 (slider from 0.2 to 0.6, step 0.01)
g(x) = (n + m) * x + 6
h(x) = s * 3 * x^(1 / 3) + 6
G, H = Intersect(g, h, 0, 7)
p = If(0 < x < 7, 3 * x^(1 / 3) + 6)
q = If(0 < x < 7, (n + m) * x + 6)
r = If(0 < x < 7, s * 3 * x^(1 / 3) + 6)
e = OrthogonalLine(H, a)
I = Intersect(e, a)
J = Intersect(e, d)
L = Intersect(f, g, (4.829452884162316, 11.070925528370877))
t = If(0 < x < 7, f(x) - g(x))
K: (x(H), f(x(H)))
M = Intersect(t, e, (1.6060526914816955, 1.826884936559436))
N: ((m + n)^(-1.5), t((m + n)^(-1.5)))
O: (x(N), 0)
i = Segment(K, H)
j = Segment(H, I)
k = Segment(N, O)
l = Segment(I, M)
a_1 = Segment(M, J)
P: (0, y(K))
b_1 = Segment(P, K)
Q: (7, g(7))
R: (6.5, r(6.5))