Consider the revenue function $R(x)=5x$ and the cost function $C(x)=2x+21$. Determine the break-even point.
$x=7$
$x=3$
$x=63$
$x=0$
Consider the revenue function $R(x)=5x$ and the cost function $C(x)=2x+21$. Determine the break-even point.
Antwoord 1 correct
Correct
Antwoord 2 optie
$x=3$
Antwoord 2 correct
Fout
Antwoord 3 optie
$x=63$
Antwoord 3 correct
Fout
Antwoord 4 optie
$x=0$
Antwoord 4 correct
Fout
Antwoord 1 optie
$x=7$
Antwoord 1 feedback
Correct:
$$\begin{align*}
R(x)  = C(x) & \Leftrightarrow 5x=2x+21\\
& \Leftrightarrow 3x=21\\
& \Leftrightarrow x=7.
\end{align*}$$

Hence, the break-even point is $x=7$.

Go on.
Antwoord 2 feedback
Wrong: $5x=2x+21 \Leftrightarrow 7x=21$ is not correct.

See Linear functions: Example 2.
Antwoord 3 feedback
Wrong: $3x=21 \Leftrightarrow x=63$ is not correct.

See Linear functions: Example 2.
Antwoord 4 feedback
Wrong: Profit should be zero, not the production level.

See Break-even.