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swiftskier96

Help!?!?!?!??!?!?!? 42. 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 100 units. Moreover, production levels are limited by the formula x + 2y ≤ 1,400. What production levels yield maximum profit?

  • one year ago
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  1. swiftskier96
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    @jim_thompson5910

    • one year ago
  2. swiftskier96
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    @whpalmer4

    • one year ago
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    @JakeV8

    • one year ago
  4. whpalmer4
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    I'd probably sketch all three relations on the same graph and put on my thinking cap...

    • one year ago
  5. whpalmer4
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    Correction, sketch the two inequalities, then put on thinking cap.

    • one year ago
  6. whpalmer4
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    Those two inequalities will result in a graph that looks something like this:|dw:1358377753150:dw| The area below the two lines is the area where x,y meet the constraints. Figure out where they intersect, find the value of P at that point, then compare it with a few spots on either side to make sure it appears to be the maximum.

    • one year ago
  7. whpalmer4
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    "on either side" - spots on the two inequality boundaries on either side of the intersection.

    • one year ago
  8. swiftskier96
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    I have to write down my answer. I can't use graphs. So if you could explain it to me using something I could write in, that would be awesome!

    • one year ago
  9. whpalmer4
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    Just because you can't use the graph to write your answer doesn't mean you can't use the graph to understand (how to get) the answer :-)

    • one year ago
  10. swiftskier96
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    @jim_thompson5910

    • one year ago
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