4 pts) Sometimes MDPs are formulated with a reward functionR(s; a) that depends on theaction taken or with a reward functionR(s; a; s0) that also depends on the outcome state.(a) Write the Bellman equations for these formulations and show how an MDP with rewardfunctionR(s; a; s0) can be transformed into a di erent MDP with rewardR(s; a) such thatthe optimal policy in the new MDP corresponds exactly to the optimal policy in the originalMDP.(b) Do the same to convert an MDP withR(s; a) into an MDP withR(s).

Mr. smith, a 57-year-old patient, presents at a health fair asking questions about the age-appropriate health maintenance and promotion considerations he should be concerned about. he stated that he only goes to his physician when he is sick and the last time he saw his physician was 2 years ago when he had a sinus infection. a. what further assessment does the nurse need to make before designing a teaching plan? b. what topics does the nurse need to include for mr. smith based on current medical recommendations? c. design a teaching plan that covers the topics.