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Calculus: Optimization under constraints?
Find the optimal point of the function subject to the given constraint.
f(x, y) = x^2 + 9y^2 constrained by x + y - 1 = 0
List the coordinates of the optimal.
x=___?____
y=___?_____
f(x, y)=___?_____
please help me out. i really need it!
1 Answer
- Anonymous8 years agoFavorite Answer
You should get..
fx = 2x
fy = 18y
2x = λ
18y = λ
So x = 9y, and so...
9y + y - 1 = 0
10y - 1 = 0
y = 1/10
Therefore, x = 9/10
So the optimal point is (9/10, 1/10, 82/100)
Good luck!
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