a+b+c=300 a/b = 1/9 -> b = 9*a a*b*c = max 10*a+c = 300 -> c = 300-10*a 9*(300-10*a)*a*a = max 300*a^2-10*a^3 = max -> Derivative: 2*300*a - 30*a^2 = 0-> a1 = 0 a2=20 max; a = 20 b = 180 c = 100
a+b+c=300
a/b = 1/9 -> b = 9*a
a*b*c = max
10*a+c = 300 -> c = 300-10*a
9*(300-10*a)*a*a = max
300*a^2-10*a^3 = max -> Derivative: 2*300*a - 30*a^2 = 0->
a1 = 0
a2=20 max;
a = 20
b = 180
c = 100