# Math

posted by
**Britney**
.

The weekly demand for the Pulsar 25-in. color console television is given by the demand equation

p=-0.05x+502 (0(less than or equal too)x(less than or equal too)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)=0.000003x^3-0.05x^2+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.)

? units