Solve a convex optimization problem

I need help with solving a convex optimization problem in the book https://stanford.edu/~boyd/cvxbook/bv_cvxbook_extra_exercises.pdf. l have to implement a simple solver in python language or matlab for solving the convex optimization problem. I have attached example files of the python code for what the solver should look like.

state the problem,
formulate a mathematical model of the problem,
prove the model to be a convex optimization problem,
formulate the Lagrange dual problem,
implement a method for solving the problem,
and finally, solve an instance of the problem.