SOLUTION: Samsung and Apple are competing on the number of phones sold. The average profit per 𝑥 hundred phones earned by each company can be modeled by the rational functions below,

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Question 1041995: Samsung and Apple are competing on the number of phones sold. The average profit per 𝑥 hundred phones earned by each company can be modeled by the rational functions below, where 𝑥=>0.
Samsung: S(x)= (80x+150)/x
Apple: A(x)=(35𝑥+600)/𝑥
How many phones are to be sold the profit earned by Samsung to be greater than the profit earned by Apple?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
We want %2880x%2B150%29%2Fx+%3E+%2835x%2B600%29%2Fx+.
Since x > 0 ( for average profit x%3C%3E0), we can multiply both sides by x without changing the direction of the inequality.
===> 80x+150 > 35x+600 ===> 45x > 450 ===> x > 10.
Since x is measured by the hundreds, Samsung's average profit will be greater than Apple's upon selling 1,001 phones..