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 = -0.01x^2 - 0.1 x + 47
Determine the consumers' surplus if the market price is set at $5/cartridge. (Round your answer to two decimal places.)
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