Maximizing problem with an inequality constraint.by Rabolisk Tags: constraint, inequality, maximizing 

#1
Dec1012, 11:57 AM

P: 6

Hello I have a worked example where I have to maximize a function with an inequality constraint. The problem is worked out below.
I know how to get the kuhntucker conditions in the first step. I also understand how the first two possibilities (i) and (ii) are ruled out. In the third one the value of [itex]\lambda[/itex] is 2. But how did the problem work out the value of and x_{2} to be 10? Thanks. 



#2
Dec1112, 01:31 AM

P: 428

In case (iii), x_1=0. Why not just go back to the original conditions, you are trying to maximize y=2*x_2 subject to the constraint x_2<=10, so clearly we have a max when x_2=10, thus y=20.



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