Solve the problem.
-Given the cost function, $C ( x )$, and the revenue function, $R ( x )$, find the dollar amount coming in and going out at the break-even point. Round to the nearest dollar if necessary.
$$\begin{array} { l }
C ( x ) = 8000 x + 90,000 \
R ( x ) = 17,000 x
\end{array}$$
A) $\$ 170,000$
B) $\$ 10$
C) $\$ 80,000$
D) $\$ 61,200$

Question

Solve the problem.
-Given the cost function, $C ( x )$, and the revenue function, $R ( x )$, find the dollar amount coming in and going out at the break-even point. Round to the nearest dollar if necessary.
$$\begin{array} { l } 
C ( x ) = 8000 x + 90,000 \
R ( x ) = 17,000 x
\end{array}$$
A) $\$ 170,000$
B) $\$ 10$
C) $\$ 80,000$
D) $\$ 61,200$

Quizplus · Accepted Answer

At the break-even point, the cost equals the revenue, so setting $C(x) = R(x)$ gives $8000x + 90,000 = 17,000x$. Solving for $x$ gives $x = 10$. Substituting $x = 10$ into either $C(x)$ or $R(x)$ gives $170,000$ dollars.

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