The Poultry Farmer Decided to Make His Own Chicken Scratch

question 73

Essay

The poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in rail car quantities. A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer's chickens have a minimum daily requirement of vitamin K (500 milligrams) and iron (400 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 150 milligrams of vitamin K and 75 milligrams of iron. A unit of alfalfa contains 250 milligrams of vitamin K and 50 milligrams of iron. Formulate the linear programming model for this situation.

---

Definitions:

Control Theory

The theory that an individual’s tendency to engage in deviant behavior is influenced by his or her ties to other persons. There are four components of such ties: attachment, commitment, involvement, and belief.

Involvement

The degree of interest and engagement that an individual or group has in a particular activity or situation.

Social Life

The part of an individual's time that is spent engaging with others in the community or society, participating in social activities, and building relationships.

Opportunity Structure

An environment in which an individual has opportunities to enact a role, which usually requires the assistance of those in complementary roles.