math

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

  1. 👍 0
  2. 👎 0
  3. 👁 441
asked by Alex
  1. 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

    1. 👍 0
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    posted by Steve
  2. x = 14,y = -2

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    posted by abdul
  3. x=400
    y=600

    1. 👍 0
    2. 👎 0
    posted by Potato
  4. Updated answers
    1. D
    2. D
    3. A

    1. 👍 0
    2. 👎 1
    posted by Rach
  5. d a d

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

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    posted by brooke
  7. Just took the quiz they are
    D
    B
    C

    1. 👍 0
    2. 👎 0
    posted by Sophia
  8. Sophia is right. 100%%

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    2. 👎 0
    posted by Davon

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