(See Steps) The demand function for a certain product is given by p=-0.01x^2-0.2x+10, where p represents the unit price in dollars and x is the quantity demanded
Question: The demand function for a certain product is given by \[p=-0.01{{x}^{2}}-0.2x+10\] , where p represents the unit price in dollars and x is the quantity demanded measured in units of a thousand. Determine the consumer surplus if the price is set at $2.
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