My result doesn't agree with results from online calculators












0












$begingroup$


I'm doing an exercise about linear programming, but my answer doesn't agree with the answer from online calculators like this and this. Below is the problem statement:
$$Minimize: u = 4x - 3y, s.t.$$
$$y le -x + 1$$
$$y le x + 1$$
$$y ge 0$$



I found 3 corner: (-1,0), (0,1), (1,0) and min = -4 at (-1,0), but these calculators gives me the answer -3 at (0,1). Did I miss anything when solving this problem?










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  • 1




    $begingroup$
    Your solution looks fine to me. BTW: you can use leq to get $leq$ and geq to get $geq$.
    $endgroup$
    – Dave
    Dec 31 '18 at 1:22










  • $begingroup$
    Were you perhaps entering $xgeq 0$ as a constraint as well?
    $endgroup$
    – Dave
    Dec 31 '18 at 1:24
















0












$begingroup$


I'm doing an exercise about linear programming, but my answer doesn't agree with the answer from online calculators like this and this. Below is the problem statement:
$$Minimize: u = 4x - 3y, s.t.$$
$$y le -x + 1$$
$$y le x + 1$$
$$y ge 0$$



I found 3 corner: (-1,0), (0,1), (1,0) and min = -4 at (-1,0), but these calculators gives me the answer -3 at (0,1). Did I miss anything when solving this problem?










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Your solution looks fine to me. BTW: you can use leq to get $leq$ and geq to get $geq$.
    $endgroup$
    – Dave
    Dec 31 '18 at 1:22










  • $begingroup$
    Were you perhaps entering $xgeq 0$ as a constraint as well?
    $endgroup$
    – Dave
    Dec 31 '18 at 1:24














0












0








0





$begingroup$


I'm doing an exercise about linear programming, but my answer doesn't agree with the answer from online calculators like this and this. Below is the problem statement:
$$Minimize: u = 4x - 3y, s.t.$$
$$y le -x + 1$$
$$y le x + 1$$
$$y ge 0$$



I found 3 corner: (-1,0), (0,1), (1,0) and min = -4 at (-1,0), but these calculators gives me the answer -3 at (0,1). Did I miss anything when solving this problem?










share|cite|improve this question











$endgroup$




I'm doing an exercise about linear programming, but my answer doesn't agree with the answer from online calculators like this and this. Below is the problem statement:
$$Minimize: u = 4x - 3y, s.t.$$
$$y le -x + 1$$
$$y le x + 1$$
$$y ge 0$$



I found 3 corner: (-1,0), (0,1), (1,0) and min = -4 at (-1,0), but these calculators gives me the answer -3 at (0,1). Did I miss anything when solving this problem?







linear-programming






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share|cite|improve this question













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edited Dec 31 '18 at 1:29







DDMC

















asked Dec 31 '18 at 1:14









DDMCDDMC

13016




13016








  • 1




    $begingroup$
    Your solution looks fine to me. BTW: you can use leq to get $leq$ and geq to get $geq$.
    $endgroup$
    – Dave
    Dec 31 '18 at 1:22










  • $begingroup$
    Were you perhaps entering $xgeq 0$ as a constraint as well?
    $endgroup$
    – Dave
    Dec 31 '18 at 1:24














  • 1




    $begingroup$
    Your solution looks fine to me. BTW: you can use leq to get $leq$ and geq to get $geq$.
    $endgroup$
    – Dave
    Dec 31 '18 at 1:22










  • $begingroup$
    Were you perhaps entering $xgeq 0$ as a constraint as well?
    $endgroup$
    – Dave
    Dec 31 '18 at 1:24








1




1




$begingroup$
Your solution looks fine to me. BTW: you can use leq to get $leq$ and geq to get $geq$.
$endgroup$
– Dave
Dec 31 '18 at 1:22




$begingroup$
Your solution looks fine to me. BTW: you can use leq to get $leq$ and geq to get $geq$.
$endgroup$
– Dave
Dec 31 '18 at 1:22












$begingroup$
Were you perhaps entering $xgeq 0$ as a constraint as well?
$endgroup$
– Dave
Dec 31 '18 at 1:24




$begingroup$
Were you perhaps entering $xgeq 0$ as a constraint as well?
$endgroup$
– Dave
Dec 31 '18 at 1:24










1 Answer
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$begingroup$

The online calculators assume nonnegativity. If you write $x$ as the difference of two nonnegative numbers, your first calculator gives the right answer



Minimize p = 4x1-4x2-3y subject to
x1-x2+y <= 1
-x1+x2+y <= 1





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    1 Answer
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    2












    $begingroup$

    The online calculators assume nonnegativity. If you write $x$ as the difference of two nonnegative numbers, your first calculator gives the right answer



    Minimize p = 4x1-4x2-3y subject to
    x1-x2+y <= 1
    -x1+x2+y <= 1





    share|cite|improve this answer









    $endgroup$


















      2












      $begingroup$

      The online calculators assume nonnegativity. If you write $x$ as the difference of two nonnegative numbers, your first calculator gives the right answer



      Minimize p = 4x1-4x2-3y subject to
      x1-x2+y <= 1
      -x1+x2+y <= 1





      share|cite|improve this answer









      $endgroup$
















        2












        2








        2





        $begingroup$

        The online calculators assume nonnegativity. If you write $x$ as the difference of two nonnegative numbers, your first calculator gives the right answer



        Minimize p = 4x1-4x2-3y subject to
        x1-x2+y <= 1
        -x1+x2+y <= 1





        share|cite|improve this answer









        $endgroup$



        The online calculators assume nonnegativity. If you write $x$ as the difference of two nonnegative numbers, your first calculator gives the right answer



        Minimize p = 4x1-4x2-3y subject to
        x1-x2+y <= 1
        -x1+x2+y <= 1






        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 31 '18 at 1:26









        LinAlgLinAlg

        10.1k1521




        10.1k1521






























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