Consider again Example 3 of Section 6.2 on fishery planning, but in an infinite horizon context with discount factor \(\alpha=.99\). Assume the same per-period reward function \(r\) and transition matrices \(T_{a}\) are in effect. Solve for the optimal harvesting policy starting with the initial policy of harvesting nothing when the population is 0 or 1 , and 1 unit otherwise.