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.
-$$\begin{array} { l }
C ( x ) = 6000 x + 70,000 \
R ( x ) = 16,000 x
\end{array}$$
A) 9 units
B) 3 units
C) 8 units
D) 7 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.
-$$\begin{array} { l } 
C ( x ) = 6000 x + 70,000 \
R ( x ) = 16,000 x
\end{array}$$
A) 9 units
B) 3 units
C) 8 units
D) 7 units

Quizplus · Accepted Answer

To find the break-even point, set the cost function equal to the revenue function: $6000x + 70,000 = 16,000x$. Solving for $x$ gives $x = 7$, meaning 7 units must be sold to break even.

Given the Cost Function, C(x), and the Revenue Function, R(x) C(x)=6000x+70,000R(x)=16,000x\begin{array} { l } C ( x ) = 6000 x + 70,000 \\R ( x ) = 16,000 x\end{array}C(x)=6000x+70,000R(x)=16,000x​

Given the Cost Function, C(x), and the Revenue Function, R(x) $\begin{array} { l } C ( x ) = 6000 x + 70,000 \\R ( x ) = 16,000 x\end{array}$