1. The problem statement, all variables and given/known data There are three patchs in which an animal can forage. Patch 1: Risk of predation is 0. Probability of finding food is 0. Energy value is 0. Patch 2: Risk of predation is 0.004. Probability of finding food is 0.4 and energy gain is 3. patch 3: risk of predation is 0.02. Probability of finding food is 0.6 and energy gain is 5. Foraging in any patch uses one unit of energy reserves. Energy reserves below 4 indicate death. maximum energy capacity for animal is ten units. Solve this problem for 20 foraging periods to find a patch selection strategy which maximizes the animals probability of survival over this period. 2. Relevant equations ? 3. The attempt at a solution Three patchs; N=3 States: risk, food findings and energy gain. action: Choosing patchs 1, 2 or 3. How do I solve this problem?