kv(x) = 1.8·x^2 - 7.2·x + 10.4
Kostenfunktion K(x)
K(x) = kv(x)·x + Kf = 1.8·x^3 - 7.2·x^2 + 10.4·x + 60
Grenzkosten K'(x)
K'(x) = 5.4·x^2 - 14.4·x + 10.4
Betriebsminumum kv'(x) = 0
3.6·x - 7.2 = 0 --> x = 2 ME
KPU
kv(2) = 3.20 GE
Betriebsoptimum k'(x) = 0
k(x) = K(x) / x = 1.8·x^2 - 7.2·x + 60/x + 10.4
k'(x) = 3.6·x - 60/x^2 - 7.2 = 0 --> x = 3.423
LPU
k(3.423) = 24.37 GE