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.
-$$\begin{array} { l }
C ( x ) = 143 x + 306,000 \
R ( x ) = 313 x
\end{array}$$
A) 1801 units
B) 1800 units
C) 634 units
D) 1802 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.
-$$\begin{array} { l } 
C ( x ) = 143 x + 306,000 \
R ( x ) = 313 x
\end{array}$$
A) 1801 units
B) 1800 units
C) 634 units
D) 1802 units

Quizplus · Accepted Answer

To find the break-even point, set the cost function equal to the revenue function: $143x + 306,000 = 313x$. Solving for $x$ gives $x = 1800$, meaning 1800 units must be sold to break even.

Given the Cost Function, C(x), and the Revenue Function, R(x) C(x)=143x+306,000R(x)=313x\begin{array} { l } C ( x ) = 143 x + 306,000 \\R ( x ) = 313 x\end{array}C(x)=143x+306,000R(x)=313x​

Given the Cost Function, C(x), and the Revenue Function, R(x) $\begin{array} { l } C ( x ) = 143 x + 306,000 \\R ( x ) = 313 x\end{array}$