Maximizing profit the weekly demand for the pulsar 25-in

Question

Question: MAXIMIZING PROFIT The weekly demand for the Pulsar 25-in. color console 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) = 0.000002x³ - 0.03x² + 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.