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MeganDarling

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

  • one year ago
  • one year ago

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  1. MeganDarling
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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

    • one year ago
  2. MeganDarling
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    please help you guys :/ I really need it.

    • one year ago
  3. Hero
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    I've seen this question before.

    • one year ago
  4. MeganDarling
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    :o oh haha? Well it must have been someone from my same school then I suppose

    • one year ago
  5. MeganDarling
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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 :/

    • one year ago
  6. Hero
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    Okay, hang on

    • one year ago
  7. MeganDarling
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    Thanks (:

    • one year ago
  8. MeganDarling
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    Hmm :o I'll wait longer haha these aren't easy questions!

    • one year ago
  9. MeganDarling
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    it's alright thanks for taking the time (:

    • one year ago
  10. MeganDarling
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    Man..I would have taken like a year to do it then O.o

    • one year ago
  11. MeganDarling
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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

    • one year ago
  12. Hero
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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

    • one year ago
  13. MeganDarling
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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

    • one year ago
  14. Hero
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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

    • one year ago
  15. MeganDarling
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    er man, I'm terrible at this..

    • one year ago
  16. Hero
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    Wow you figured it out

    • one year ago
  17. MeganDarling
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    oh did I O.o

    • one year ago
  18. MeganDarling
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    That seemed so long and complicated x.x

    • one year ago
  19. Hero
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    I'm trying to figure out what you did, lol

    • one year ago
  20. Hero
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    I already posted my steps

    • one year ago
  21. MeganDarling
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    I just guessed to be honest I'm kind of a lucky guesser x.x

    • one year ago
  22. Hero
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    I think you did some plug and play to figure it out. You already had answer choices.

    • one year ago
  23. MeganDarling
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    I really should learn how to do it though since I can't guess right every time haha

    • one year ago
  24. Hero
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    I, on the other hand, figured it out the hard way. It was very toilsome.

    • one year ago
  25. MeganDarling
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    I really didn't lol I just sat and stared at the answers for while.. x.x

    • one year ago
  26. MeganDarling
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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 :/

    • one year ago
  27. Hero
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    Believe it or not, what I posted IS the easy way. Good luck finding an easier way.

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

    • one year ago
  29. MeganDarling
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    oh goodness... haha yeh I guess, so how shall I go about this second question?

    • one year ago
  30. Hero
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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

    • one year ago
  31. Hero
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    Matter of fact, I'm just going to say the answer is A

    • one year ago
  32. Hero
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    without doing any work

    • one year ago
  33. MeganDarling
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    Your guess is better than mine haha! I'll try it I suppose .

    • one year ago
  34. MeganDarling
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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)

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

    • one year ago
  36. Hero
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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.

    • one year ago
  37. Hero
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    All you have to do is just plug the values into the formula

    • one year ago
  38. Hero
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    There's one obvious one that works

    • one year ago
  39. Hero
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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?

    • one year ago
  40. MeganDarling
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    Sorry I was in the shower O.o

    • one year ago
  41. MeganDarling
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    Nothing is ever easy for me :P Math is like a foriegn language to me :/

    • one year ago
  42. MeganDarling
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    The...first one lol?

    • one year ago
  43. MeganDarling
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    er the 4th one ... erm, I'm so dumb x.x

    • one year ago
  44. MeganDarling
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    You must be doing something now lol...

    • one year ago
  45. Hero
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    Yes, it is the 4th one. (5,0)

    • one year ago
  46. MeganDarling
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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

    • one year ago
  47. Hero
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    As far as helping other people, it doesn't work that way. I help whoever I want to help whenever I want.

    • one year ago
  48. Whiterabbit541
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    1. Graph the system of constraints and find the value of x and y that maximize the objective function. Objective function: C = 7x – 3y (1 point) (0 pts) (2.5, 2.5) (0 pts) (0, 2) (0 pts) (0, 0) (1 pt) (5, 0) 1 /1 point 2. 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? (1 point) (0 pts) 69 of type A : 51 of type B (1 pt) 40 of type A : 80 of type B (0 pts) 51 of type A : 69 of type B (0 pts) 80 of type A : 40 of type B

    • one year ago
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