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.
-$$\begin{array} { l }
C ( x ) = 0.3 x + 1320 \
R ( x ) = 1.5 x
\end{array}$$
A) 1120 units
B) 1110 units
C) 1100 units
D) 489 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.
-$$\begin{array} { l } 
C ( x ) = 0.3 x + 1320 \
R ( x ) = 1.5 x
\end{array}$$
A) 1120 units
B) 1110 units
C) 1100 units
D) 489 units

Quizplus · Accepted Answer

To find the break-even point, set the cost function equal to the revenue function: $0.3x + 1320 = 1.5x$. Solving for $x$, subtract $0.3x$ from both sides to get $1320 = 1.2x$, then divide both sides by $1.2$ to find $x = 1100$.

Given the Cost Function, C(x), and the Revenue Function, R(x) C(x)=0.3x+1320R(x)=1.5x\begin{array} { l } C ( x ) = 0.3 x + 1320 \\R ( x ) = 1.5 x\end{array}C(x)=0.3x+1320R(x)=1.5x​

Given the Cost Function, C(x), and the Revenue Function, R(x) $\begin{array} { l } C ( x ) = 0.3 x + 1320 \\R ( x ) = 1.5 x\end{array}$