# [R] A question about linear optimizaton

Arne Henningsen ahenningsen at agric-econ.uni-kiel.de
Sat May 6 12:11:16 CEST 2006

```Dear Cathy,

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.
>
>
>     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/

```