A game warden wants his animals to get a minimum of 36 milligrams (mg) of iodine, 84 mg of iron, and 16 mg of zinc each day. One feed y1 provides 3 mg of iodine, 6 mg of iron, and 1 mg of zinc; a second feed y2 provides 2 mg of iodine, 6 mg of iron, and 4 mg of zinc. The first type of feed costs

$20; the second, $15. In terms of equations and graphs, what is the least-cost combination of feeds guaranteeing daily requirements?

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Minimize c=20y1 +15y2 subject to 3y1 +2y2 36 (iodine requirement) 6y1 + 6y2 84 (iron requirement) y+4y2 16 (zinc requirement) J1, y2 > 0 For a solution using graphs, see Problem 7.14.