The demand function for a certain make of replacement cartridges for a water purifier is given by
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where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.
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CS = $__________

Fill in the blank(s) with the appropriate word(s).


16,667

Mathematics

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