Question 466415
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Let *[tex \Large x] represent the number of watermelons purchased.  Then *[tex \Large \frac{750}{x}] is the cost per watermelon, and then *[tex \Large \frac{750}{x}\ +\ 2] is the sale price per watermelon.  *[tex \Large x\ -\ 100] is the number sold to the breakeven point, so the revenue at the breakeven point is *[tex \Large \left(\frac{750}{x}\ +\ 2\right)(x\ -\ 100)].  To break even, total revenue must equal total cost:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{750}{x}\ +\ 2\right)(x\ -\ 100)\ =\ 750]


Simplify and solve the resulting quadratic for the positive root.


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