Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you minimize and maximize $f (x, y) = y e^{2 x} - ln (\frac{y}{x})$ $f(x,y)=ye^(2x)-ln(y/x)$ constrained to $0 < x y - y + x < 1$ $0<xy-y+x<1$ ?

1 Answer

Feb 18, 2017

See below.

Explanation:

There is a local minimum at $x = 1, y = 0.135335$ $x=1, y= 0.135335$

enter image source here

Related questions

How do you find two numbers whose difference is 100 and whose product is a maximum?
How do you find the dimensions of a rectangle whose area is 100 square meters and whose...
How do you find the points on the ellipse $4 x^{2} + y^{2} = 4$ $4x^2+y^2=4$ that are farthest from the point $(1, 0)$ $(1,0)$ ?
How do you find the dimensions of the rectangle with largest area that can be inscribed in a...
Question #517b1
Let's say I have $480 to fence in a rectangular garden. The fencing for the north and south...
How do you find the volume of the largest right circular cone that can be inscribed in a sphere...
How do you find the dimensions of a rectangular box that has the largest volume and surface area...
What are the dimensions of a box that will use the minimum amount of materials, if the firm...
How do you find the dimensions that minimize the amount of cardboard used if a cardboard box...

See all questions in Solving Optimization Problems

Impact of this question

1543 views around the world

You can reuse this answer
Creative Commons License