Starting with ${}_0(C)=$ fast, ${}_0(W)=$ fast use policy iteration to find a better policy. You should keep improving the policy until the optimal policy is reached. Assume that $=0\mathrm{.}5.$ Show all work. What values do you get for the optimal policy? You can use any methods from the slides to solve this problem. If you do value iteration you can write a Python $($or Matlab$)$ program to help you solve the problem.