Question

A company produces x units of a product per month, where C(x)
represents the total cost and R(x) represents the total revenue for the
month. The functions are modeled by C(x) = 300x + 250 and
R(x) = -0.5x^2 + 800x - 100. The profit is the difference between
revenue and cost where P(x) = R(x) - C(x). What is the total profit,
P(x), for the month?
(1) P(x) = -0.5x^2 + 500x - 150
(2) P(x) = -0.5x^2 + 500x - 350
(3) P(x) = -0.5x^2 - 500x + 350
(4) P(x) = -0.5x^2 + 500x + 350

Answer 1

P(x)=R(x)-C(x)
      =(-0.5x²+800x-100)-(300x+250)
      =-0.5x²+800x-100-300x-250
      =-0.5x²+800x-300x-100-250
      =-0.5x²+500x-350 (2)