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The problem is: Beth works a maximum of $20$ hours/week programming computers and tutoring math. She receives $\$25$/hour for programming and $\$20$/hour for tutoring. She works between $3$ and $8$ hours/week programming, but always gives more time to tutoring. How many hours should she work at each job to maximize her income?

Let $x$ = # hours programming and $y$ = # hours tutoring.

My constraints are:

Total hours: $x + y ≤ 20$

Hours programming: $3 ≤ x ≤ 8$

Hours tutoring: $y > x$

Are these right?

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    Don't worry about it.2012-12-03

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It looks good, though "between" is a bit ambiguous. Sometimes, it is meant the way that you interpreted it, but sometimes, it is meant to indicate strict inequalities.

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    Ah, okay. Yeah, I'm pretty sure it's my way :)2012-12-03