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math

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A factory can produce two products, x and y, with a profit approximated by P =
I think it's b but I'm not really sure. Can someone show me how to do this or let me check my answer? :)

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?

a. x = 400; y = 600
b. x = 0; y = 0
c. x = 1,600; y = 0
d. x = 0; y = 200

  • math - ,

    y <= x+200
    x+2y <= 1600

    maximize 14x+22y-900

    Surely (0,0) will not yield maximum profit!

    If you evaluate p(x,y) at the line intersections, you will find

    p(0,0) = -900
    p(0,200) = 3500
    p(400,600) = 17900
    p(1600,0) = 21500

  • math - ,

    x = 14,y = -2

  • math - ,

    x=400
    y=600

  • math - ,

    Updated answers
    1. D
    2. D
    3. A

  • math - ,

    d a d

  • math - ,

    Idiots. The answer was C [x = 1,600; y = 0], not B.

  • math - ,

    Just took the quiz they are
    D
    B
    C

  • math - ,

    Sophia is right. 100%%

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