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:

Collateral

An asset offered to secure a loan or other credit and subject to seizure upon default.

Security Interests

A lawful demand or security interest on assets that have been offered as a guarantee, typically to ensure the repayment of a borrowed sum.

Time of Perfection

The point at which a security interest is legally established against third parties, typically by filing or possession.

Time of Attachment

The point at which an interest, typically a security interest, becomes legally binding on the asset to which it attaches.