Answered: A) The marginal revenue for selling the…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 30CR

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A) The marginal revenue for selling the xth box of light bulbs is 10 + 0.001x²e^−x/100. Find the total revenue generated by selling 300 boxes of bulbs. (Round your answer to the nearest cent.)

$______________

B)The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by

s(t) = −0.18t² + 3t + 15 gallons per year (0 ≤ t ≤ 10),

where t is the time in years since the start of 2000.† After conducting a survey of sales in your state, you estimate that consumption in gyms accounts for a fraction

f(t) =√0.2+0.04t

of all bottled water consumed in year t. Assuming that your model is correct, estimate, to the nearest gallon, the total amount of bottled water consumed per capita in gyms from the start of 2008 to the start of 2010. HINT [Rate of consumption = s(t)f(t).](It is not 44 or 22 )

____________Gal

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