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The demand function for a certain make of replacement cartridges for a water purifier is given...

The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand.

p = −0.01x2 − 0.3x + 41

Determine the consumers' surplus if the market price is set at $1/cartridge. (Round your answer to two decimal places.)


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