The weekly demand for the Pulsar 40-in. high-definition television is given by the demand equation p = −0.05x + 600 (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) = 0.000002x 3 − 0.03x 2 + 250x + 80, 000 where C(x) denotes the total cost incurred in producing x sets. 4. Give the profit that corresponds to your production level from part (3). If necessary, round profit to the nearest cent.

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