Get me the matlab code and i need tge formulation writin in hand and code should be displyed. Its urgentPackaging problem: Consider three cylindrical tubes of equal length $)=(50cm$ but different diameters and $d_3=10cm)$ to be packed in a rectangular container for shipping. Find the dimensions of this rectangular container with the smallest perimeter that can contain these three cylindrical tupes.

Formulate the optimization problem

Solve it using any programming tool of your choice

Will the solution be affected, if you turn the container by a right angle?

Hint: Think about the problem using this side view of the packaging