Two power plants provide power to all of Manila: Mapayapa plant and Hagonoy plant. Both power plants burn coal to produce electricity, and consequently produce smog as a by-product. The M power plant could reduce its smog, but at a total cost: CM(XM) = 5X2M where XM indicates the total number of units of smog abated by M. The H plant is slightly less efficient, and its total cost for cutting down on smog by XH is: CH(XH) = 7X2H + 10XH Suppose that instead of taxation, the Manila government tries to regulate quantities. However, the city of Manila cannot write a law for each firm, so it simply declares that all power plants must cut down on smog by xC1 units each year. Explain why this is not efficient.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Two power plants provide power to all of Manila: Mapayapa plant and Hagonoy plant. Both power plants burn coal to produce electricity, and consequently produce smog as a by-product. The M power plant could reduce its smog, but at a total cost:

CM(XM) = 5X2M

where XM indicates the total number of units of smog abated by M.

The H plant is slightly less efficient, and its total cost for cutting down on smog by XH is:

CH(XH) = 7X2H + 10XH

Suppose that instead of taxation, the Manila government tries to regulate quantities. However, the city of Manila cannot write a law for each firm, so it simply declares that all power plants must cut down on smog by xC1 units each year. Explain why this is not efficient.

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