What is the maximum value of Q(p,q,r)=2pq+2pr+2qr subject to p+q+r=1?
2 Answers
Apr 7, 2018
The maximum value of
Explanation:
We want to maximise
Let
gradQ=lambdagradP
rArr((2q+2r),(2p+2r),(2p+2q))=lambda((1),(1),(1))
So
Since
So the maximum value of
Apr 7, 2018
See below.
Explanation:
The solution is at the tangency points between the sphere
with the plane
This point is for