SOLUTION: The cost function in a dress factory is C(x) = 5x + 27 and the revenue function is R(x) = - 3x^2 + 41 x, where x is the number of dresses sold, in thousands. What number of dress

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The cost function in a dress factory is C(x) = 5x + 27 and the revenue function is R(x) = - 3x^2 + 41 x, where x is the number of dresses sold, in thousands. What number of dress      Log On


   

Question 1203061: The cost function in a dress factory is C(x) = 5x + 27 and the revenue function is R(x) = - 3x^2 + 41
x, where x
is the number of dresses sold, in thousands. What number of dresses sold maximizes profit? a.
6000
C.
27 000
b.
8000
d. 81 000
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


revenue: -3x^2+41x
cost: 5x+27
profit: revenue minus cost: -3x^2+36x-27

The maximum profit is when x = -36/(2(-3)) = -36/-6 = 6.

ANSWER: 6000