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andreascott

  • 2 years ago

Your computer-supply store sells two types of inkjet printers. The first, type A, costs $237 and you make a $22 profit on each one. The second, type B, costs $122 and you make a $19 profit on each one. You can order no more than 120 printers this month, and you need to make at least $2,400 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost? 69 of type A : 51 of type B 40 of type A : 80 of type B 51 of type A : 69 of type B 80 of type A : 40 of type B

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  1. Hero
    • 2 years ago
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    I could have sworn I helped you with this yesterday.

  2. Hero
    • 2 years ago
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    You can't say this one is different.

  3. andreascott
    • 2 years ago
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    I don't think you did? I don't remember having a problem like this ?

  4. Hero
    • 2 years ago
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    Hang on a minute.

  5. andreascott
    • 2 years ago
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    ok.

  6. Hero
    • 2 years ago
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    I don't know how you managed to delete those questions you posted yesterday.

  7. andreascott
    • 2 years ago
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    I didn't , I don't even know how to delete them ?

  8. Hero
    • 2 years ago
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    If we let: a = number of type A computers b = number of type B computers Then we can produce the following equations: Amount of Computers a + b ≤ 120 Cost of Computers: C(a,b) = 237a + 122b Profit from computers: 22a + 19b ≥ 2400 So now we take the amount equation and the profit equation and solve for a and b: a + b ≤ 120 22a + 19b ≥ 2400 Multiply the first equation by 22 to get: 22a + 22b ≤ 2640 22a + 19b ≥ 2400 Isolate 22a in both equations: 22a ≤ 2640 - 22b 22a ≥ 2400 - 19b Now set: 22a ≤ 22a 2400 - 19b ≤ 2640 - 22b Place like terms on the same side: 22b - 19b ≤ 2640 - 2400 3b ≤ 240 b ≤ 240/3 b ≤ 80 Thus a ≤ 40 since we know that a + b ≤ 120

  9. Hero
    • 2 years ago
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    That's the same solution I typed up yesterday.

  10. Hero
    • 2 years ago
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    That's why I was able to post it so quickly

  11. Hero
    • 2 years ago
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    Thus that proves the question was posted yesterday

  12. Hero
    • 2 years ago
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    Furthermore, since a = 40 and b = 80, we can find the total cost: C(a,b) = 237a + 122b C(40,80) = 237(40) + 122(80) = 19,240

  13. andreascott
    • 2 years ago
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    I do remember that . But, I swear I didn't delete anything ? and so you mean to say my teacher gave me the same question for yesterday & today ? lol

  14. Hero
    • 2 years ago
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    After further review, it appears that someone else must have posted the same question.

  15. Hero
    • 2 years ago
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    An @MeganDarling

  16. andreascott
    • 2 years ago
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    oh , but is it even possible to delete questions you have asked ?

  17. Hero
    • 2 years ago
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    http://openstudy.com/users/megandarling#/users/megandarling/asked

  18. Hero
    • 2 years ago
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    No, not anymore

  19. Hero
    • 2 years ago
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    However, it is possible to alter your question.

  20. andreascott
    • 2 years ago
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    Oh , well thank you for helping me again .

  21. MeganDarling
    • 2 years ago
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    hi? haha

  22. andreascott
    • 2 years ago
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    hey , lol . are you in connections acad. ?

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spraguer (Moderator)
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