problem2.txt

MINOS 5.51: optimal solution found.
3 iterations, objective 2.478491141
:         enough_nutrients.lb enough_nutrients.body enough_nutrients.ub    :=
calcium            800                800                 Infinity
calories          3000               3000                 Infinity
protein             70                 82.1795            Infinity
vitamin_a          500               1192                 Infinity
;

total_cost = 2.47849

lbs [*] :=
  bread  0
cabbage  0
gelatin  0
   meat  0
   milk  0.815393
 potato  8.64165
;


The optimal diet is a 8.64165 lbs of potatoes and 0.815393 lbs of milk.

This proves just enough calcium (800 mg.) and calories (3000), a small excess of protein (82.1795 g.), and a large excess of vitamin A (1192 I.U.).