Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
-$\begin{array} { l }
C ( x ) = 51 x + 2200 \
R ( x ) = 71 x
\end{array}$
A) 112 units
B) 110 units
C) 25 units
D) 111 units

Question

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
-$\begin{array} { l } 
C ( x ) = 51 x + 2200 \
R ( x ) = 71 x
\end{array}$
A) 112 units
B) 110 units
C) 25 units
D) 111 units

Quizplus · Accepted Answer

To find the break-even point, set the cost function equal to the revenue function: $51x + 2200 = 71x$. Solving for x gives $2200 = 20x$, so $x = 110$.

Given the Cost Function, C(x), and the Revenue Function, R(x) C(x)=51x+2200R(x)=71x\begin{array} { l } C ( x ) = 51 x + 2200 \\R ( x ) = 71 x\end{array}C(x)=51x+2200R(x)=71x​

Given the Cost Function, C(x), and the Revenue Function, R(x) $\begin{array} { l } C ( x ) = 51 x + 2200 \\R ( x ) = 71 x\end{array}$