# math

posted by
**Britney**
.

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^2-0.3x+20

Determine the consumers' surplus if the market price is set at $2/cartridge. (Round your answer to two decimal places.)