$ondollar title Service Desk (NLP) Example 14.7 of Rardin (1998)

$offsymxref offsymlist offuelxref offuellist offupper
option limrow = 0, limcol = 0;

free variable perim "outer perimeter";

positive variables
x1 "half length of the work area",
x2 "inside width of the work area";

equations
obj   "maximize outer perimeter",
tenm  "ten meter distance limit",
outc  "keep outside conveyors",
insid "inside work space";

obj..
perim =e= 2*x1+2*x2+2;

tenm..
sqr(x1)/25 + sqr(x2)/16 =l= 1;

outc..
x1 =g= 3.5;

insid..
x2 =g= 2.75;

model servdesk /all/;

solve servdesk using nlp maximizing perim;