# Calculus

posted by
**Ant**
.

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

p = -0.03 x + 571\ \ \ \ \(0<=x<=12,000\)

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) = 0.000002 x^3 - 0.01 x^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