Question: Consumers' Surplus The demand function for a certain brand of mattress is given by [ p=500 e^{-0.09 x}] where ( p ) is the unit

Consumers' Surplus The demand function for a certain brand of mattress is given by \[ p=500 e^{-0.09 x}\] where $ p $ is the unit price in dollars and $ x $(in units of a hundred) is the quantity demanded per month. (a) Find the number of mattresses demanded per month if the unit price is set at $\$ 200/$ mattress. (Round your answer to the nearest integer.) mattresses (b) Use the results of part (a) to find the consumers' surplus if the selling price is set at $\$ 200$ per mattress. (Round your answer to the nearest dollar.)\$ Need Help?

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