Question 992358
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Let *[tex \Large x] represent the number of guests.  The cost function is *[tex \Large C(x)\ =\ 3x\ +\ 125].  The revenue function is *[tex \Large R(x)\ =\ 8x].


The break-even point is where Cost equals Revenue.  Set the two functions equal to each other and solve for *[tex \Large x].


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \