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| how2maths http://elevatedgaming.net/forums/viewtopic.php?f=13&t=22924 |
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| Author: | SilverStevie [ Sun Oct 23, 2016 3:20 am ] |
| Post subject: | how2maths |
Find the values of x1 and x2 that maximize z=2x1+5x2 Subject to: 2x1+ x2 >= 8 -4x1+ 2 <= 2 2x1- 3x2 <= 0 x1 >= 0 x2 >= 0 |
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| Author: | Wartheft [ Sun Oct 23, 2016 4:56 am ] |
| Post subject: | Re: how2maths |
I'm assuming by x1 and x2 you really mean x^1 and x^2? |
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| Author: | Kapitan [ Sun Oct 23, 2016 5:51 am ] |
| Post subject: | Re: how2maths |
Wartheft wrote: I'm assuming by x1 and x2 you really mean x^1 and x^2? Wouldn't x1 and x2 be different variables, as in x and y? And in that case isn't this just simple simultaneous equations? Although if you did actually mean it as in quadratic equations, then just put them into a format like x^2+2x-8>=0 and solve from there. Shouldn't need 3 different equations for any of these though which is why i'm not 100% sure. |
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| Author: | cnnalin [ Sun Oct 23, 2016 9:50 am ] |
| Post subject: | Re: how2maths |
SilverStevie wrote: Find the values of x1 and x2 that maximize z=2x1+5x2 He clearly stated that these are variables |
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| Author: | SilverStevie [ Sun Oct 23, 2016 9:56 am ] |
| Post subject: | Re: how2maths |
No I mean them as diffrent variables. Gosh lern2mat ppl |
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| Author: | cnnalin [ Sun Oct 23, 2016 10:04 am ] |
| Post subject: | Re: how2maths |
I'm just guessing but is z=40? X1=0 and x2=8? |
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| Author: | SilverStevie [ Sun Oct 23, 2016 11:28 am ] |
| Post subject: | Re: how2maths |
cnnalin wrote: I'm just guessing but is z=40? X1=0 and x2=8? Incorrect. Here's a hint, replace x1 and x2 with x and y. Then graph all the equations. |
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| Author: | cnnalin [ Sun Oct 23, 2016 11:45 am ] |
| Post subject: | Re: how2maths |
MAN I DIDNT WANNA DO THE GRAPH SHIT THATS WHY TRIED TO DO IT MENTALLY I feel like my laziness is gonna be the downfall of me xD |
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| Author: | Jimmah [ Sun Oct 23, 2016 12:05 pm ] |
| Post subject: | Re: how2maths |
i got x1=3 and x2=2 found using simplex method edit; didn't read the problem correctly. this answer is wrong. |
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| Author: | Yiggles Moto [ Sun Oct 23, 2016 12:37 pm ] |
| Post subject: | Re: how2maths |
SilverStevie wrote: Find the values of x1 and x2 that maximize z=2x1+5x2 Subject to: 2x1+ x2 >= 8 -4x1+ 2 <= 2 2x1- 3x2 <= 0 x1 >= 0 x2 >= 0 btw, there's a subscript bb code tag to use so you get x1 and x2 Code: x[sub]1[/sub] and x[sub]2[/sub] Anyways, is there even a solution? There's no bound for z. We can find a minimum, but the graphs go on forever otherwise? Can't really find a maximum for z=2x+5y when z has no bounds, and what's graphed doesn't have a closed space and goes on forever in the +x and +y quadrant. |
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