Question

求y=(x^90)*(y^6)*(z^3)*(1-x-y-z)取最值时,x,y,z的取值?

Answer 1

原式=90^90*(x/90)^90 *6^6(y/6)^6*3^3(z/3)^3*(1-x-y-z)

=90^90*6^6*3^3*(x/90)(x/90)...(x/90)(y/6)...(y/6)(z/3)(z/3)(z/3)(1-x-y-z)