If your funding is limited, ...

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If your funding is limited, then move the sample point to the outfall and sample what is flowing out of the lake. If the lake serves as a drinking water supply then sample from the water plant's inlet. As already pointed out, it depends upon what your reasons for sampling it are. If the lake has no outlet for flow, then you would want to sample at several points spanning the area of the lake in order to properly characterize it.