Question

find the maximum and minimum value of f(x,y, z)=xyz subject to the x+y+z =1 assume that x,y,z ≥0​

Answer 1

Answer:

Given

f

(

x

,

y

,

z

)

=

x

y

z

g

(

x

,

y

,

z

)

=

x

+

y

+

z

=

1

⇒

1

−

x

−

y

−

z

=

0

g

(

x

,

y

,

z

)

=

(

1

,

1

,

1

)