[R] A question about linear optimizaton

[Arne Henningsen]

Dear Cathy,

a few comments to your question:

a) If you want a (linear or non-linear) optimization you need an objective 
function that you want to minimize or maximize. 

b) There is no unique solution for your problem.

c) In you case you should use algebra rather than a computer. This gives 
following solution: X1 = 1/8; X2 = 7/8 - X3 with X3 in (7/16, 3/4) => X2 in 
(1/8, 7/16)

Arne

On Friday 05 May 2006 03:58, cathy_chien wrote:
>  Dear all,
>
>    I am trying to find a solution satisfying the below equations
>
>    in R.
>
>
>    Set up the problem
>
>       9 X1+ X2 + X3 = 2
>         X1+ X2 + X3 = 1
>
>    which is subjected to
>
>        0 < X1 < X2 < X3 < 2.
>
>    I have downloaded the packages \'linprog\' and \'lpSolve\' but can
>
>     not see how to solve the question.
>
>
>     Thank you for your help.
>
>
>     With Best,
>
>     Cathy
>
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-- 
Arne Henningsen
Department of Agricultural Economics
University of Kiel
Olshausenstr. 40
D-24098 Kiel (Germany)
Tel: +49-431-880 4445
Fax: +49-431-880 1397
ahenningsen at agric-econ.uni-kiel.de
http://www.uni-kiel.de/agrarpol/ahenningsen/