Figure 1 shows a schematic of a valley and a reservoir. Dam Hill Figure 1: Left hand side: transect of the reservoir. Right hand side: sideways view of the valley. The reservoir is bounded upstream by a hill, located at a distance L of 2584 m from the dam. The transect of the reservoir is assumed to be rectangular, with a top width of 166 m. The maximum water depth H in the reservoir is 74 m. The reservoir is used to provide water for a hydropower station, which has one turbine, for which the design discharge is 11 ms. One operational rule for the hydropower plant is that it always has to operate using the design discharge. A second operational rule for the hydropower plant is that the plant has to be shut down when the water level in the reservoir reaches 7 m or lower. Assume a reservoir evaporation rate of 577 mm per year, distributed uniformly throughout the year. Starting from a completely full reservoir, in a worst-case scenario of a drought, and no rain at all reaching the catchment, how many days will it take for the reservoir to reach the minimum water level, and the hydropower station has to be shut down?