- #1
ajkess1994
- 9
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Afternoon, I have been working on this problem for awhile now but have been stuck on a certain point, and once I set everything equal to each other I end up with the same thing for example: x=x, y=y, & z=z
Find the minimum and maximum values of the function f(x,y,z)=3x+2y+4z subject to the constraint x^(2)+2y^(2)+6z^(2)=81.
fmax= ?
fmin= ?
This is what I have,
fx=3, fy=2, fz=4, gx=2x, gy=4y, gz=12z
3=2x(lamda); (lamda)= 3/2x
2=4y(lamda); (lamda)= 2/4y
4=12y(lamda); (lamda)= 4/12z
(3/2x)=(2/4y)=(4/12z)
Find the minimum and maximum values of the function f(x,y,z)=3x+2y+4z subject to the constraint x^(2)+2y^(2)+6z^(2)=81.
fmax= ?
fmin= ?
This is what I have,
fx=3, fy=2, fz=4, gx=2x, gy=4y, gz=12z
3=2x(lamda); (lamda)= 3/2x
2=4y(lamda); (lamda)= 2/4y
4=12y(lamda); (lamda)= 4/12z
(3/2x)=(2/4y)=(4/12z)