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iTiaax

  • one year ago

A firm uses a combination of large and small boxes to package the items it produces. Large boxes can hold 8 items. Small boxes can hold 3 items. The firm wishes to package 84 or less items using no more than 18 boxes. Let L represent the number of large boxes used and S, the number of small boxes used. Write down two inequalities, other than L>0 and S>0 to represent the information above.

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  1. Molly171998
    • one year ago
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    \[8L+3S \le 84\] and \[L+S \le18\]

  2. iTiaax
    • one year ago
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    Hey, can you explain how you got that answer?

  3. Molly171998
    • one year ago
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    Okay, so you know that large boxes (L) can hold 8 items and small boxes (S) can hold 3 items. You want to pack no more than (so less than or equal to) 84 items.

  4. Molly171998
    • one year ago
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    That's how you get the first equation. For the second equation you want to pack all of the items in no more than (less than or equal to) 18 boxes. So the large boxes (L) plus small boxes (S) is less than or equal to 18.

  5. Molly171998
    • one year ago
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    Does that make sense?

  6. iTiaax
    • one year ago
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    Yes, it does. Thank you so much :)

  7. Molly171998
    • one year ago
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    You are very welcome :)

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