Consider the following statements about solving dynamic programming problems. Label each statement as true or false, and then justify your answer by referring to specific statements (with page citations) in the chapter.

(a) The solution procedure uses a recursive relationship that enables solving for the optimal policy for stage (n 1) given the optimal policy for stage n.

(b) After completing the solution procedure, if a nonoptimal decision is made by mistake at some stage, the solution procedure will need to be reapplied to determine the new optimal decisions (given this nonoptimal decision) at the subsequent stages.

(c) Once an optimal policy has been found for the overall problem, the information needed to specify the optimal decision at a particular stage is the state at that stage and the decisions made at preceding stages.