A monopoly has a total cost function C=1000+ 120x+6x2 for its product, which has demand function p=360-3x-2x2.

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A monopoly has a total cost function C=1000+ 120x+6x2 for its product, which has demand function p=360-3x-2x2. Find the consumer's surplus at the point where the monopoly has maximum profit. In the following equation p and C are in dollars and x is the number of units.
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