Consumers' Surplus The demand function for a certain brand of mattress is given by p = 500e-0.05x where p is the unit price in dollars and x (in units of a hundred) is the quantity demanded per month. (a) Find the number of mattresses demanded per month if the unit price is set at $200/mattress. (Round your answer to the nearest integer.) 1833 mattresses (b) Use the results of part (a) to find the consumers' surplus if the selling price is set at $200 per mattress. (Round your answer to the nearest dollar.) 2335

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
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Consumers' Surplus The demand function for a certain brand of mattress
is given by
p = 500e-0.05x
where p is the unit price in dollars and x (in units of a hundred) is the
quantity demanded per month.
(a) Find the number of mattresses demanded per month if the unit price is
set at $200/mattress. (Round your answer to the nearest integer.)
1833
mattresses
(b) Use the results of part (a) to find the consumers' surplus if the selling
price is set at $200 per mattress. (Round your answer to the nearest
dollar.)
$ 2335
Need Help?
Read It
Transcribed Image Text:Consumers' Surplus The demand function for a certain brand of mattress is given by p = 500e-0.05x where p is the unit price in dollars and x (in units of a hundred) is the quantity demanded per month. (a) Find the number of mattresses demanded per month if the unit price is set at $200/mattress. (Round your answer to the nearest integer.) 1833 mattresses (b) Use the results of part (a) to find the consumers' surplus if the selling price is set at $200 per mattress. (Round your answer to the nearest dollar.) $ 2335 Need Help? Read It
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