First, at its optimum output the firm charges a price that exceeds marginal costs, The MC firm maximizes profits where marginal revenue = marginal cost.
3.
Since it is not possible to find the optimum output level, it is not possible to find the optimum Pigovian tax level to achieve that optimum.
4.
Even if a measurement of the psychological effect of some externality did exist, it would be impossible to collect that data for all individuals affected and then find the optimum output level.
5.
Optimum output-efficiency in the visual range is obtained at a density that favors " greybody radiation " ( an arc that produces mostly continuum emission, but is still mostly translucent to its own light ).
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