Question

The weekly demand for the Pulsar 25-in. color console television is given by the demand equation
p=-0.07x+540 (0<=x<=12000)
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)=0.000004x^3-0.01x^2+400x+80000
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.)