economia: social-democracia vs socialisme

La empresa ha de decidir:

si és social-demócrata o bé si és socialista.

preu de venta k socis:

B(x) = px+(-n)·x^{k}

d_{x}[B(x)] = q+( (-n)·k )·x^{k+(-1)} = 0

x = 1

p = kn

social-democracia:

impostos k socis:

B(x) = qx+(-n)·x^{(1/k)}

d_{x}[B(x)] = q+( (-n)/k )·x^{(1/k)+(-1)} = 0

x = 1

q = (n/k)

preu total:

p+q = kn+(n/k)

socialisme:

impostos k socis:

B(x) = (q/k)·x+(-n)·x^{(1/k)}

d_{x}[B(x)] = (q/k)+( (-n)/k )·x^{(1/k)+(-1)} = 0

x = 1

q = n

preu total:

p+q = kn+n = (k+1)·n

social-democracia:

exemples:

n = 0.10€

2n = 0.20€

(n/2) = 0.05€

2n+(n/2) = 0.25€

socialisme:

exemples:

n = 0.10€

2n = 0.20€

n = 0.10€

2n+n = 0.30€

social-democracia:

exemples:

n = 0.20€

2n = 0.40€

(n/2) = 0.10€

2n+(n/2) = 0.50€

socialisme:

exemples:

n = 0.20€

2n = 0.40€

n = 0.20€

2n+n = 0.60€

social-democracia:

exemples:

n = 0.50€

2n = 1€

(n/2) = 0.25€

2n+(n/2) = 1.25€

socialisme:

exemples:

n = 0.50€

2n = 1€

n = 0.50€

2n+n = 1.50€

social-democracia:

exemples:

n = 1.50€

3n = 4.50€

(n/3) = 0.50€

3n+(n/3) = 5€

socialisme:

exemples:

n = 1.50€

3n = 4.50€

n = 1.50€

3n+n = 6€

social-democracia:

impostos k = 2 & 20%·(p+q) = (n/2)

impostos k = 3 & 10%·(p+q) = (n/3)

socialisme:

impostos k = 2 & 33.3...%·(p+q) = n

impostos k = 3 & 25%·(p+q) = n