Question: If the demand and supply functions for a product are p = 800 - 2q and p = 100 + 0.5q, respectively, find the tax

If the demand and supply functions for a product are p = 800 - 2q and p = 100 + 0.5q, respectively, find the tax per unit t that will maximize the tax revenue T.
p is the price per unit in dollars and q is the number of units.

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