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anonymous

  • 5 years ago

I need help setting up a story problem with system of equations! The goal is to find out how many teachers and teacher's aides should be hired in order to minimize salary costs. The salary for a teacher is $35,000. The salary for a teacher's aide is $18,000. There school can have to more than 50 faculty members, and no less than 20. The school must have at least 12 aides. The number of teachers must be at least twice the number of aides.

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  1. farmdawgnation
    • 5 years ago
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    Hey, bd3ll. Please stop deleting your own questions. Other users have been trying to help you out.

  2. anonymous
    • 5 years ago
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    Sorry, I decided to rewrite it and repost

  3. farmdawgnation
    • 5 years ago
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    Ok, I'll take your word for it. But someone was typing on your last post and it got deleted while they were working. So, I just wanted to make sure you had a good reason for deleting. :)

  4. anonymous
    • 5 years ago
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    It is no more than 50?

  5. anonymous
    • 5 years ago
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    I have these... they look right? \[x+y \le50\] \[x+y \ge20\] \[x \ge12\] \[2y \ge x\]

  6. anonymous
    • 5 years ago
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    x=# of teachers y=# of teacher's aides

  7. anonymous
    • 5 years ago
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    I like using variables names that are easy. In this case, t and a make more sense than x and y. Yes, t+a <= 50 t+a >= 20 a >= 12 t >= 2a

  8. anonymous
    • 5 years ago
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    To minimize salaries, you need as few people as possible. So, it seems like picking the minimum aides and minimum teacher to aide ratio seems to do the trick.

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