A policy maker in Sacramento county needs to allocate some water to a group of n farmers in California from m reservoirs. Because the media will highlight any farmer who is very unhappy, the policy maker wants to maximize the minimum amount that any of the farmers receives. Reservoir i has capacity ui. If farmer j is served from reservoir i, then a fraction fij of the water gets lost in evaporation while being channeled to the farmer. 1. Formulate this as a linear program. 2. Suppose farmer 2 cannot be served by reservoir 3 because the farmer is at a higher altitude than the the reservoir. How can you take this into account in your model without increasing the number of constraints or variables