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<blockquote data-quote="lPainel" data-source="post: 2692059" data-attributes="member: 906394">unknown integers...? and the coefficients a, b, c and d are unique and known with (a,b,c)&lt;d.&nbsp; Is there a known procedure? I can brute force a solution(s), i just wonder if there is a better way.and a,b,c and d are real and positive.Gianlino, i&#039;d like to find values where the lhs is at its maximum value with respect to d.&nbsp; Ideally when n1+n2+n3 is small.&nbsp; For example, when a=2.5, b=1.5, c=1.1&nbsp; &nbsp; &nbsp; (n1)&nbsp; &nbsp; ,&nbsp; &nbsp; &nbsp; (n2)&nbsp; &nbsp;&nbsp; ,&nbsp; (n3) ,(a*n1+b*n2+c*n3)&nbsp; ,&nbsp; d&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2.0000,&nbsp; &nbsp; 1.0000,&nbsp; &nbsp; 5.0000,&nbsp;&nbsp; 12.0000,&nbsp;&nbsp; 12.0000&nbsp; &nbsp; 3.0000,&nbsp;&nbsp; 3.0000,&nbsp; &nbsp; &nbsp; &nbsp;&nbsp; 0,&nbsp; &nbsp; &nbsp; 12.0000,&nbsp;&nbsp; 12.1000&nbsp; &nbsp; 1.0000,&nbsp; &nbsp; 2.0000,&nbsp; &nbsp; 6.0000,&nbsp;&nbsp; 12.1000,&nbsp;&nbsp; 12.2000&nbsp; &nbsp; 3.0000,&nbsp; &nbsp; 1.0000,&nbsp; &nbsp; 3.0000,&nbsp;&nbsp; 12.3000,&nbsp;&nbsp; 12.3000&nbsp; &nbsp; 2.0000&nbsp; &nbsp; 2.0000,&nbsp; &nbsp; 4.0000,&nbsp;&nbsp; 12.4000,&nbsp;&nbsp; 12.4000etc.note those values are for (a*n1+b*n2+c*n3)note those values are for (a*n1+b*n2+c*n3) less than are equal to dYou can rewrite the constraints as:0it seems yahoo cuts off text with a less than or equal to symbols, irritating...You can rewrite the constraints as:0 less than n1 less than (d/a)0 less than n2 less than (d-a*n1)/b0 less than n3 less than or equal to (-a*n1*n2-b*n2*n3+d)/cwhich might be quicker but is still ugly.</blockquote>

[QUOTE="lPainel, post: 2692059, member: 906394"] unknown integers...? and the coefficients a, b, c and d are unique and known with (a,b,c)<d. Is there a known procedure? I can brute force a solution(s), i just wonder if there is a better way. and a,b,c and d are real and positive. Gianlino, i'd like to find values where the lhs is at its maximum value with respect to d. Ideally when n1+n2+n3 is small. For example, when a=2.5, b=1.5, c=1.1 (n1) , (n2) , (n3) ,(a*n1+b*n2+c*n3) , d 2.0000, 1.0000, 5.0000, 12.0000, 12.0000 3.0000, 3.0000, 0, 12.0000, 12.1000 1.0000, 2.0000, 6.0000, 12.1000, 12.2000 3.0000, 1.0000, 3.0000, 12.3000, 12.3000 2.0000 2.0000, 4.0000, 12.4000, 12.4000 etc. note those values are for (a*n1+b*n2+c*n3) note those values are for (a*n1+b*n2+c*n3) less than are equal to d You can rewrite the constraints as: 0 it seems yahoo cuts off text with a less than or equal to symbols, irritating... You can rewrite the constraints as: 0 less than n1 less than (d/a) 0 less than n2 less than (d-a*n1)/b 0 less than n3 less than or equal to (-a*n1*n2-b*n2*n3+d)/c which might be quicker but is still ugly. [/QUOTE]

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