The break even of a company is when cost equals selling function. The break even of xyz company is 500000 units.
Given that:
[tex]c=500000+5q[/tex] --- cost function
[tex]s = 6q[/tex] --- selling function
The break even is when the functions are equal
i.e.
[tex]s = q[/tex]
So, we have:
[tex]6q=500000+5q[/tex]
Collect like terms
[tex]6q - 5q=500000[/tex]
[tex]q=500000[/tex]
The break even is at 500000 units
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