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.

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Definitions:

Fixtures

Items that were personal property but have been attached to property in such a way that they are legally considered part of the real property.

Fee Simple

The most complete ownership in property law, giving the holder full possession and control over their property without time limitations.

Crown

A term used in legal contexts to denote authority and power of the state, or the monarch in countries with a monarchy.

Mineral Rights

Legal rights or ownership interests pertaining to the minerals beneath the surface of a piece of land, including the right to explore, mine, and produce those minerals.