The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: C(q) = 5,000+ 98q² 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. What level of reduction corresponds to the lowest average cost per pound of pollutant? (Round your answer to two decimal places.) 51.02 X pounds of pollutant per day What would be the resulting average cost to the nearest dollar? $ per pound

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 58SE: When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary...
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The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:
C(q) 5,000 + 989²
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. What level of reduction corresponds to the lowest
average cost per pound of pollutant? (Round your answer to two decimal places.)
51.02
X pounds of pollutant per day
What would be the resulting average cost to the nearest dollar?
per pound
Transcribed Image Text:The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: C(q) 5,000 + 989² 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. What level of reduction corresponds to the lowest average cost per pound of pollutant? (Round your answer to two decimal places.) 51.02 X pounds of pollutant per day What would be the resulting average cost to the nearest dollar? per pound
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