Maximizing ProfitsThe weekly demand for the Pulsar 40-in. high-definition television is given by the demand equation

p = 0.05x + 675 (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) = 0.000002x³ 0.01x² + 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.)