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Minnesota Has Two Oil Refineries That Emit Methane Gas

Question 77

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Minnesota has two oil refineries that emit methane gas. The Bend refinery emits 300 units of methane, and the Park refinery emits 900 units. Government regulators would like to reduce total methane emissions from 1,200 to 900 units. Bend's total abatement and marginal abatement cost are TCB = 400QB + 4QB2 and MACB = 400 + 8QB, where Q is units of methane. Park's total abatement cost and marginal abatement cost are TCP = 40QP + 2QP2 and MACP = 10 + 4QP. Minnesota has two oil refineries that emit methane gas. The Bend refinery emits 300 units of methane, and the Park refinery emits 900 units. Government regulators would like to reduce total methane emissions from 1,200 to 900 units. Bend's total abatement and marginal abatement cost are TC<sub>B</sub> = 400Q<sub>B</sub> + 4Q<sub>B</sub><sup>2</sup> and MAC<sub>B</sub> = 400 + 8Q<sub>B</sub>, where Q is units of methane. Park's total abatement cost and marginal abatement cost are TC<sub>P</sub> = 40Q<sub>P</sub> + 2Q<sub>P</sub><sup>2</sup> and MAC<sub>P</sub> = 10 + 4Q<sub>P</sub>.

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a. TCB = 400(150) + 4(150)2 = $150,000; TC...

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