Calculus

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The weekly demand for the Pulsar 25-in. color console television is given by the demand equation
p = -0.03 x + 571\ \ \ \ \(0<=x<=12,000\)
where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing these sets is given by
C(x) = 0.000002 x^3 - 0.01 x^2 + 400x + 80,000
where C(x) denotes the total cost incurred in producing x sets. Find the level of production that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest whole number.)
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