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Suppose There Are Three Power-Generating Plants, Each of Which Has

question 56

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Suppose there are three power-generating plants, each of which has access to 5 different production processes. The table below summarizes the cost of each production process and the corresponding number of tons of smoke emitted each.  Process  A  B  C  D  E  (smoke/day)   (4 tons/day)   (3 tons/day)   (2 tons/day)  (1 ton/day)   (0 tons/day)   Cost to Firm X($/ day)  $500$514$530$555$585 Cost to Firm Y ($/day)  $400$420$445$480$520 Cost to Firm Z($/day)  $300$325$360$400$550\begin{array}{|c|c|c|c|c|c|}\hline \text { Process } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\text { (smoke/day) } & \text { (4 tons/day) } & \text { (3 tons/day) } & \text { (2 tons/day) } & (1 \text { ton/day) } & \text { (0 tons/day) } \\\hline \text { Cost to Firm } X(\$ / \text { day) } & \$ 500 & \$ 514 & \$ 530 & \$ 555 & \$ 585 \\\hline \text { Cost to Firm Y (\$/day) } & \$ 400 & \$ 420 & \$ 445 & \$ 480 & \$ 520 \\\hline \text { Cost to Firm Z(\$/day) } & \$ 300 & \$ 325 & \$ 360 & \$ 400 & \$ 550 \\\hline\end{array}
Suppose the government decides to impose a tax on each ton of smoke emitted. What would be the lowest tax, in whole dollars, that would reduce emissions to 6 tons per day?


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National Child Labor Committee

An American organization founded in 1904 with the aim of abolishing child labor, seeking to promote laws and policies that protect children from exploitation in the workforce.

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Juvenile Court System

A specialized court system dealing with minors who are accused of violating the law, focusing on rehabilitation and parental responsibility rather than punishment.

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