Consider the following problem. A tribe has 100 bushels of wheat, which can be stored or used for planting. The yield from the crop depends on the amount planted, the weather, and the location of the crop. Assume the probability that it is Dry 30% and Wet is 70% with these 2 the only possible outcomes. The yields per bushel planted from different planting strategies are as follow : Location Dry(.3) Wet(.7) Mesa 0 10

Midlands 3 3

River bottom 10 0

For example, if they plant in Mesa nd it is Dry (Wet) one bushel planted yields zero (10) bushels after harvest. Consider different planting strategies and choose the optimal strategy for planting. How should they decide to plant their crops to max their harvest? Why?