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.Com
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) (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
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