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The manufacturer of color televisions can sell 1000 sets to his dealers at $376 each. If the price is $280, he can sell 2200 sets.

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The manufacturer of color televisions can sell 1000 sets to his dealers at $376 each. If the price is $280, he can sell 2200 sets. The total cost of producing x televisionsets is C(x) = 2800+180x -0.02x2. Assuming the demand function is linear, find the price per set that will maximize profit. Round your answer to the nearest cent,if necessary.

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