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# Finding Maximum out of a symbolic list given some constraints

Posted 10 years ago
 Hey Guys,I have solution in the form of a list as follows,  Max[0. + Abs[-1.75447*10^6 - 0.184261 T] +   Abs[-2868.55 + a + 0.276392 T], 0. + 2 Abs[-1.75447*10^6 - 0.184261 T] +   Abs[3.50321*10^6 + 0.368522 T], 0. + 2 Abs[-31999.5 - 0.221113 T] + Abs[-86832. - 0.1 T] +   Abs[86832. + 0.1 T] + Abs[58261.9 + 0.442226 T], 0. + Abs[-1.75447*10^6 - 0.184261 T] + Abs[-2868.55 + d + 0.66334 T],   0. + Abs[-31999.5 - 0.221113 T] + 2 Abs[86832. + 0.1 T] +   Abs[-2868.55 + b + 0.773896 T],0. + Abs[-31999.5 - 0.221113 T] + 2 Abs[-86832. - 0.1 T] +  Abs[-2868.55 + e + 0.906564 T],0. + 2 Abs[157081. - 0.180903 T] + Abs[-86832. - 0.1 T] +  Abs[86832. + 0.1 T] + Abs[628326. + 1.44722 T],0. + Abs[157081. - 0.180903 T] + Abs[-86832. - 0.1 T] +  Abs[86832. + 0.1 T] + Abs[-5.47701*10^-13 + c + 5.60799 T],0. + Abs[157081. - 0.180903 T] + Abs[-86832. - 0.1 T] +  Abs[86832. + 0.1 T] + Abs[-5.47701*10^-13 + f + 5.78889 T]]but I am unable to find the Max out of this list. Actually this list have some undefined variables. What if I want to check that which solution of this list is Maximum of all according to the following constraints over the variables which are used in the solution list./.{a > 2631708, b > 111998, c > 2434762, d > 6316099, e > 131197,   f > 2513302}]Regards,
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Posted 10 years ago
 yes zeros can be ignored, but I cannot ignore other values by just considering just two of them. I have to find one Maximum solution out of available 9 solutions please go through my previous post I think I made it very clear.
Posted 10 years ago
 Please clarify the question. If you take just 2 elements from your list, I mean 0. + Abs[-1.75447*10^6 - 0.184261 T] + Abs[-2868.55 + a + 0.276392 T]and0. + 2 Abs[-31999.5 - 0.221113 T] + Abs[-86832. - 0.1 T] +   Abs[86832. + 0.1 T] + Abs[58261.9 + 0.442226 T](do you really need zeros here?) and generate a 3D plot of these two planes, say, for a from 2631708 up to 10^7 and for T from 0 to 2000 Plot3D[{Abs[-1.75447*^6 - 0.184261 T] +   Abs[-2868.55 + a + 0.276392 T],  2 Abs[-1.75447*^6 - 0.184261 T] +   Abs[3.50321*^6 + 0.368522 T]}, {a, 2631708, 10^7}, {T, 0, 2000}]then you may see that for some region the first function has bigger values and the second one has bigger values for the other domains