In a free market, the marginal cost (M) of a commodity in $/kg may be modeled as

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In a free market, the marginal cost (M) of a commodity in $/kg may be modeled as M = 7Q, where Q is the quantity produced in kilograms. The demand for this commodity is related to its price (P) as P = 3Q+ 100. Answer the following questions: 1. Determine the equilibrium point for this market. 2. If an environmental tax of $25/kg is imposed on this system, what is the new equilibrium point?

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