The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model, C(x, y) = 1,000 + 400x + 300y2, where x is the reduction in sulfur emissions, y is the reduction in lead 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 $600 per pound of sulfur and $300 per pound of lead removed. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)? Ibs of sulfur removed per day Ibs of lead removed per day

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model,
C(x, y) = 1,000 + 400x2 + 300y²,
where x is the reduction in sulfur emissions, y is the reduction in lead 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 $600 per pound of sulfur and $300 per pound of
lead removed. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)?
Ibs of sulfur removed per day
y =
Ibs of lead removed per day
Transcribed Image Text:The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model, C(x, y) = 1,000 + 400x2 + 300y², where x is the reduction in sulfur emissions, y is the reduction in lead 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 $600 per pound of sulfur and $300 per pound of lead removed. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)? Ibs of sulfur removed per day y = Ibs of lead removed per day
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