Solve the problem.
-Given the following revenue and cost functions, find the break-even point to the nearest tenth. (Recall that profit equals revenue minus cost.)
$$R(x)=59 x-2 x^{2} ; C(x)=25 x+96$$
A) 13.4 or 3.6
B) 29.5
C) 17.0
D) 13.5 or 3.5

Question

Quizplus · Accepted Answer

To find the break-even point, set R(x) equal to C(x): $59x - 2x^2 = 25x + 96$. Solving the quadratic equation $2x^2 - 34x + 96 = 0$ gives the solutions $x = 13.4$ and $x = 3.6$.

Solve the Problem R(x)=59x−2x2;C(x)=25x+96R(x)=59 x-2 x^{2} ; C(x)=25 x+96R(x)=59x−2x2;C(x)=25x+96 A) 134 or 3

Solve the Problem $R(x)=59 x-2 x^{2} ; C(x)=25 x+96$ A) 134 or 3