MATH SOLVE

2 months ago

Q:
# pls help soon:)Due to an excess of unsold units in April, the number of gaming consoles a manufacturer needs to produce in May is given by the function f(x) = x - 400, where x represents the number of new units produced in May. The manufacturer's profit per unit for May decreases due to the excess, and is given by the function g(x) = 1,200 - 2x.Which function best describes the total profit the manufacturer can earn in May, P(x)?A. P(x) = -x2 + 800xB. P(x) = -x2 + 1,000x - 240,000C. P(x) = -2x2 + 400x - 480,000D. P(x) = -2x2 + 2,000x - 480,000

Accepted Solution

A:

P(x)=f(x)*g(x)

P(x)=(x-400)(1,200-2x)

P(x)=1,200x-2x^2-480,000+800x

P(x)=-2x^2+2,000x-480,000

Answer: Option D. P(x) = -2x2 + 2,000x - 480,000

P(x)=(x-400)(1,200-2x)

P(x)=1,200x-2x^2-480,000+800x

P(x)=-2x^2+2,000x-480,000

Answer: Option D. P(x) = -2x2 + 2,000x - 480,000