Use StochDynamicProgramming.jl to solve a simple routine economics problem.

[azev77]

Hi and thank you for this package!

How can I use this package to solve a very routine dynamic programming problem economists usually solve with value function iteration?
Here is the problem (which happens to have a simple closed form solution, so we can check)

Using optimization terminology:
state variable: k
action variable: c
reward function: log(c)