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.