The cost of controlling emissions at a firm is given by C(q) = 1,870 + 200q2, where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies amount to $100 per pound of pollutant removed per day. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)?

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Description: The cost of controlling emissions at a firm is given by C(q) = 1,870 + 200q2, where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies am

To find the number of pounds of pollutant per day which minimizes the cost

Answered: The cost of controlling emissions at a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.2: Domain And Range

Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...

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The cost of controlling emissions at a firm is given by
C(q) = 1,870 + 200q²,
where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies amount to $100 per pound of pollutant removed per day. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)?

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