Pollution Control (Compare Exercise 15.) The cost of controlling emissions at a firm is given by C(q) = 4,000 + 100q, where q is the reduction in emissions (in pounds of pollut- ant per day) and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies amount to $500 per pound of pollutant removed. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 83E
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Pollution Control (Compare Exercise 15.) The cost of
controlling emissions at a firm is given by
C(q) = 4,000 + 100q²,
where q is the reduction in emissions (in pounds of pollut-
ant per day) and C is the daily cost to the firm (in dollars) of
this reduction. Government clean-air subsidies amount to
$500 per pound of pollutant removed. How many pounds
of pollutant should the firm remove each day to minimize
net cost (cost minus subsidy)?
Transcribed Image Text:Pollution Control (Compare Exercise 15.) The cost of controlling emissions at a firm is given by C(q) = 4,000 + 100q², where q is the reduction in emissions (in pounds of pollut- ant per day) and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies amount to $500 per pound of pollutant removed. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)?
- Pollution Control (Compare Exercise 16.) Repeat Exer-
cise 17 using the following cost function:
24. V F
cate
C(q) = 2,000 + 200q?
den
hous
with government subsidies amounting to $100 per pound of
pollutant removed per day.
The
and th
Transcribed Image Text:- Pollution Control (Compare Exercise 16.) Repeat Exer- cise 17 using the following cost function: 24. V F cate C(q) = 2,000 + 200q? den hous with government subsidies amounting to $100 per pound of pollutant removed per day. The and th
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