2*A + 3 * B + K + P = 100
U ( A,B,K,P) = A2+15B+9K+13P
P = B
2*A + 3 * B + K + B = 100
U ( A,B,K,P) = A2+15B+9K+13B
2*A + 4 * B + K = 100
U ( A,B,K ) = A2+28B+9K
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K = 2 * A
2*A + 4 * B + 2 * A = 100
U ( A,B ) = A2 + 28 * B +9*2*A
4 * A - 4 * B = 100
A + B = 25
B = 25 - A
U ( A,B ) = A2 + 28 * B + 18 * Aund B = 25 - AU ( A ) = A2 + 28 * ( 25 - A ) + 18 * A
U ( A ) = A^2 + 700 - 28 * A + 18 * A
U ( A ) = A^2 - 10 * A + 700
1.Ableitung
U ´ ( A ) = 2 * A - 10
Extremwert
2 * A - 10 = 0
A = 5
B = 20 usw...