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anonymous

  • 4 years ago

Suppose a factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. The managers need to know how many workers should be on a shift in order to produce the required units at minimal cost. Let “x” represent the number of workers and y represent the number of units manufactured. pls help

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  1. Hero
    • 4 years ago
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    Well, 100≤x≤200 and 0<y≤3000 So we're dealing with domain and range here. The correct x will be somewhere between 100 and 200 workers.. There's not really a way to create a specific equation for this, but if there was it would be in the form y = f(x) and y = 3000, so 3000 = f(x) and 100≤x≤200 That's about as much as I was able to deduce from this.

  2. 2bornot2b
    • 4 years ago
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    The problem here is to reduce the number of workers (i.e. reduce the cost) and yet manufacture at least 3000 units. So the whole thing can be summarized in two inequations i)100≤x≤200 ii)3000≤y

  3. 2bornot2b
    • 4 years ago
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    The above mentioned inequality can be solved only if we have information about the number of units produced by each worker

  4. anonymous
    • 4 years ago
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    thank u guys so much :)

  5. 2bornot2b
    • 4 years ago
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    @hero, the inequality " 0<y≤3000" (I think) is not satisfying the problem, what do you say?

  6. Hero
    • 4 years ago
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    I was on the right track though.

  7. Hero
    • 4 years ago
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    But yes, it is incorrect

  8. Hero
    • 4 years ago
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    If it makes you feel any better

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