I study my optimization midterm. I saw a question in the problem set but I could not solve the question. I solve the question with Euler's geometry and find a solution. But I need a general type of optimization problem solution, which is the form of;
Minimize "Volume"
Subject to "Constraints"
In addition, I found the volume and I put the coordinates with respect to the volume that I found. I might accept that the area of the triangular prism is equilateral triangle.
Here is the question;
Given 2 spheres of radia 1<2, determine the coordinates of the largest volume triangular prism that can be inscribed inside the volume between the spheres.
Thanks.