Consumers' Surplus 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.

$p=-0\mathrm{.}01x^2-0\mathrm{.}2x+4$

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

$ $$

Need Help? $$