Question 316347
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Let *[tex \Large x] represent the number of visits.


The cost to a member for *[tex \Large x] visits is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ C_m(x)\ =\ 3x\ +\ 24]


The cost to a non-member for *[tex \Large x] visits is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ C_n(x)\ =\ 6x]


Break even when


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ C_m(x)\ =\ C_n(x)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3x\ +\ 24\ =\ 6x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 8]


Break even at 8 visits.  Cheaper to be a member if you make 9 or more visits per year.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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