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We are to find the break-even point for the functions
[tex]\begin{gathered} C(x)=12x \\ R(x)=150-3x \end{gathered}[/tex]By definition
The break-even point is where revenue equals the cost
Drawing the graph of the two functions, we have
The blue line represents the function C(x)
The green line represents the function R(X)
At the point (10, 120), C(x) = R(x)
Therefore, the break-even point is
[tex](10,120)[/tex]