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MeganDarling Group Title

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? Possible answers: 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

  • 2 years ago
  • 2 years ago

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  1. MeganDarling Group Title
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    2.A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y can exceed x by no more than 200 units. Moreover, production levels are limited by the formula x + 2y ≤ 1600. What production levels yield maximum profit? x = 400; y = 600 x = 0; y = 0 x = 1,600; y = 0 x = 0; y = 200

    • 2 years ago
  2. MeganDarling Group Title
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    please help you guys :/ I really need it.

    • 2 years ago
  3. Hero Group Title
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    I've seen this question before.

    • 2 years ago
  4. MeganDarling Group Title
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    :o oh haha? Well it must have been someone from my same school then I suppose

    • 2 years ago
  5. MeganDarling Group Title
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    But I really need help I've been asking these same questions for about 3 days and no one has helped :/

    • 2 years ago
  6. Hero Group Title
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    Okay, hang on

    • 2 years ago
  7. MeganDarling Group Title
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    Thanks (:

    • 2 years ago
  8. MeganDarling Group Title
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    Hmm :o I'll wait longer haha these aren't easy questions!

    • 2 years ago
  9. MeganDarling Group Title
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    it's alright thanks for taking the time (:

    • 2 years ago
  10. MeganDarling Group Title
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    Man..I would have taken like a year to do it then O.o

    • 2 years ago
  11. MeganDarling Group Title
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    it's alright haha you don't have to do the second one if it's going to take you too long x.x I don't wanna waste more of your time haha I feel bad, like other people need you :o

    • 2 years ago
  12. Hero Group Title
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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

    • 2 years ago
  13. MeganDarling Group Title
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    So hmm, would it be 40 of type A and 80 of B ? x.x I'm just sorta guessing here

    • 2 years ago
  14. Hero Group Title
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    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

    • 2 years ago
  15. MeganDarling Group Title
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    er man, I'm terrible at this..

    • 2 years ago
  16. Hero Group Title
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    Wow you figured it out

    • 2 years ago
  17. MeganDarling Group Title
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    oh did I O.o

    • 2 years ago
  18. MeganDarling Group Title
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    That seemed so long and complicated x.x

    • 2 years ago
  19. Hero Group Title
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    I'm trying to figure out what you did, lol

    • 2 years ago
  20. Hero Group Title
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    I already posted my steps

    • 2 years ago
  21. MeganDarling Group Title
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    I just guessed to be honest I'm kind of a lucky guesser x.x

    • 2 years ago
  22. Hero Group Title
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    I think you did some plug and play to figure it out. You already had answer choices.

    • 2 years ago
  23. MeganDarling Group Title
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    I really should learn how to do it though since I can't guess right every time haha

    • 2 years ago
  24. Hero Group Title
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    I, on the other hand, figured it out the hard way. It was very toilsome.

    • 2 years ago
  25. MeganDarling Group Title
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    I really didn't lol I just sat and stared at the answers for while.. x.x

    • 2 years ago
  26. MeganDarling Group Title
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    After trying and failing miserably, But I do think there's a quicker way :/ Just can't think of what it is at all :/

    • 2 years ago
  27. Hero Group Title
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    Believe it or not, what I posted IS the easy way. Good luck finding an easier way.

    • 2 years ago
  28. MeganDarling Group Title
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    Haha well your really good at math and I'm super jealous >.< But I appreciate the work!

    • 2 years ago
  29. MeganDarling Group Title
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    oh goodness... haha yeh I guess, so how shall I go about this second question?

    • 2 years ago
  30. Hero Group Title
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    Well from looking at the answers, it will be either A or D. And if I had to guess, I would guess A

    • 2 years ago
  31. Hero Group Title
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    Matter of fact, I'm just going to say the answer is A

    • 2 years ago
  32. Hero Group Title
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    without doing any work

    • 2 years ago
  33. MeganDarling Group Title
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    Your guess is better than mine haha! I'll try it I suppose .

    • 2 years ago
  34. MeganDarling Group Title
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    Graph the system of constraints and find the value of x and y that maximize the objective function. Objective function: C = 7x – 3y (2.5, 2.5) (0, 2) (0, 0) (5, 0)

    • 2 years ago
  35. MeganDarling Group Title
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    Any ideas on this one? It's the last one I have no idea about :/ ?

    • 2 years ago
  36. Hero Group Title
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    Well basically we have to find the coordinates the yield the maximum value of C. This is an easy one too.

    • 2 years ago
  37. Hero Group Title
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    All you have to do is just plug the values into the formula

    • 2 years ago
  38. Hero Group Title
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    There's one obvious one that works

    • 2 years ago
  39. Hero Group Title
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    c'mon Megan, think outside the box. Which set of coordinates can you plug into the function to yield the highest value of C?

    • 2 years ago
  40. MeganDarling Group Title
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    Sorry I was in the shower O.o

    • 2 years ago
  41. MeganDarling Group Title
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    Nothing is ever easy for me :P Math is like a foriegn language to me :/

    • 2 years ago
  42. MeganDarling Group Title
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    The...first one lol?

    • 2 years ago
  43. MeganDarling Group Title
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    er the 4th one ... erm, I'm so dumb x.x

    • 2 years ago
  44. MeganDarling Group Title
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    You must be doing something now lol...

    • 2 years ago
  45. Hero Group Title
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    Yes, it is the 4th one. (5,0)

    • 2 years ago
  46. MeganDarling Group Title
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    ah, that's what I thought :P But I just didn't know for sure x.x I didn't really give that question much thought I guess haha

    • 2 years ago
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