(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the follow LOP P

I am just going to write down the obj function because that is most important for my question and the constraints aren't

[tex]w = y_1 - 2y_2 + y_3[/tex]

I was asked to show that [tex]y = (2t, 3t,t)^t[/tex] is a solution for all [tex]t\geq 0[/tex]

So w = 2t - 2(3t) +t = 2t - 6t + t = -4t + t = -3t

Now initally I thought that as [tex]t \to \infty [/tex], [tex]-3t \to -\infty [/tex]

I checked the key provided by my prof and he took [tex]t \to -\infty [/tex] and [tex]-3t \to \infty [/tex]

Is it because we always assume w >0?

The flaw I made is that I never consider [tex]t \to \pm \infty [/tex].

2. Relevant equations

3. The attempt at a solution

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# Limit problem, with mins, I know the answer already and I know it is right. But the l

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