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Math Help - Unsure about linear programming

  1. #1
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    Unsure about linear programming

    I have to solve this:

    Minimize C = 30x + 10y subject to
    1.8x + 0.9 >= 270|
    0.3x + 0.2y >= 54
    0.01x + 0.03y >= 3.9
    x, y >= 0

    The corner points I got for the feasible area are (60, 180), (120, 90) and (102, 96).
    The minimum value I got is C = 3600 when x=60 and y=180, but an online programming calculator I used to check my answer tells me that the correct answer is C = 3000 when x=0 and y=300. O_o. Help?
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  2. #2
    Senior Member jakncoke's Avatar
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    Re: Unsure about linear programming

    when x = 0, it does not even satisfy the first inequality

    .9  \geq 270 ?

    Your solution seems correct to me.
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  3. #3
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    Re: Unsure about linear programming

    Thank you! *feels relieved* I checked my process of answering multiple times and didn't find anything wrong with it, so I was confused about how the answer could be wrong Maybe I didn't use the online programming calculator in the correct way
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  4. #4
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    Re: Unsure about linear programming

    Quote Originally Posted by Yoodle15 View Post
    Thank you! *feels relieved* I checked my process of answering multiple times and didn't find anything wrong with it, so I was confused about how the answer could be wrong Maybe I didn't use the online programming calculator in the correct way
    I expect you have a typo and that the first inequality is actually supposed to be \displaystyle \begin{align*} 1.8x + 0.9y \geq 270 \end{align*}.
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