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.
-$$\begin{array} { l }
C ( x ) = 88 x + 2800 \
R ( x ) = 108 x
\end{array}$$
A) 142 units
B) 141 units
C) 140 units
D) 22 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.
-$$\begin{array} { l } 
C ( x ) = 88 x + 2800 \
R ( x ) = 108 x
\end{array}$$
A) 142 units
B) 141 units
C) 140 units
D) 22 units

Quizplus · Accepted Answer

To find the break-even point, set the cost function equal to the revenue function: $88x + 2800 = 108x$. Solving for $x$, we get $2800 = 20x$, so $x = 140$ units.

Given the Cost Function, C(x), and the Revenue Function, R(x) C(x)=88x+2800R(x)=108x\begin{array} { l } C ( x ) = 88 x + 2800 \\R ( x ) = 108 x\end{array}C(x)=88x+2800R(x)=108x​

Given the Cost Function, C(x), and the Revenue Function, R(x) $\begin{array} { l } C ( x ) = 88 x + 2800 \\R ( x ) = 108 x\end{array}$