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September 22, 2014

September 22, 2014

Posted by **Leo** on Monday, August 4, 2014 at 11:39pm.

- math -
**Steve**, Tuesday, August 5, 2014 at 12:00amincome = rate * customers

I see nothing about how many hours she works per customer, so I'll just assume she works one hour each. Actually, we will see that if she works the same constant number of hours for each customer, the number does not matter. If the billable hours were also affected by the rate, then we'd have a different function.

If she charges $x over $90, her income is thus

f(x) = (90+x)(100-x) = 9000+10x-x^2

This is just a parabola with the vertex (maximum income) at x=5.

So, max income occurs when she charges $95/hr.

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