Answer
$(44,4070)$
The graph is shown in the image file.
Work Step by Step
The given revenue function is
$\Rightarrow R(x)=92.5x$
Let $R(x)=y$
$\Rightarrow y=92.5x$
Let $x=0$.
$\Rightarrow y=92.5(0)$
$\Rightarrow y=0$
One point is $A=(0,0)$
Let $x=1$.
$\Rightarrow y=92.5(1)$
$\Rightarrow y=92.5$
Second point is $B=(1,92.5)$
Now draw a straight line containing both points.
The given cost function is
$\Rightarrow C(x)=52x+1782$
Let $C(x)=y$
$\Rightarrow y=52x+1782$
Let $x=0$.
$\Rightarrow y=52(0)+1782$
$\Rightarrow y=1782$
One point is $C=(0,1782)$
Let $x=1$.
$\Rightarrow y=52(1)+1782$
$\Rightarrow y=52+1782$
$\Rightarrow y=1834$
Second point is $D=(1,1834)$
Now draw a straight line containing both points.
The intersection point of both lines is the break even point.
In the below graph the break even point is $(44,4070)$.
