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A metal refining plant emits sulfur dioxide into the air and has decided to install air scrubbers to reduce the amount of pollution. Each scrubber costs $180,000 and the Environmental Protection Agency (EPA) fines $5,000 for every part of pollution emitted per million.

Number of air scrubbers Amount of pollution

(parts per million)

   0                                           150

   1                                           100

   2                                            60

   3                                            30

   4                                            10

   5                                             0

The first air scrubber_______(increases/decreases) the total cost of pollution by $_____.

How many air scrubber should the plant install in order to minimize the total cost of pollution? What will be the cost of pollution?

Suppose the EPA fines the plant $10,000 for every part of pollution emitted per million. How many air scrubbers should the plant install in order to minimize the total cost of pollution? What will be the cost of pollution?

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Joshua Stredder
Joshua StredderLv10
28 Sep 2019

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