An engineer wants to have a rough idea about the potential revenue of a run-of-river hydropower plant before performing any detailed computations. There are no measurements of streamflow, but based on an analysis of data from nearby streams, the flow can be assumed to be zero during December, January and February, and to increase linearly from 0 ms- on March 1 to 19 ms- on July 16, and then to decrease linearly to 0 ms on November 30. The minimum environmental flow is 0.4 ms. The turbine operational flow is 12 ms, and the minimum flow for the turbine is 2.5 ms. We assume the net head to be 102 m, and the turbine effiency to vary linearly between 0.46 at the turbine minimum flow, and 0.99 at the turbine operational flow. The price of energy is 0.088 $/kWh. Calculate the expected revenue after one year using these assumptions. Write down all your assumptions and the equations that you use, and also include the necessary plots in your answer.