Spring Is Right Around the Corner and That Can Mean

question 50

Essay

Spring is right around the corner and that can mean only one thing: it's time to incubate some eggs for a fresh crop of chickens to supplement the existing flock for the year. There are three breeds that are popular: Leghorns, Buff Orpingtons, and Cochins, and each has its own strengths and weaknesses. The Leghorns, for example, are superb layers but easily excitable. The Cochins, on the other hand, are very even-tempered but not the best layers. They do have marvelous plumage, with feathers that extend down to their feet. The Buff Orpingtons are good layers, have interesting plumage, and are mid-range in their temperament.
The chicken farmer would like this crop of chickens to produce as many eggs as possible while keeping the noise to a dull roar and having a nice array of birds free-ranging on his lawn during those lazy summer days. He has put the relevant data in table form. Plumage numbers are on a scale from 1-10, with 10 being the most desirable. The egg output is not on a scale, but is instead the average output for the breed, based on years of collecting eggs.


$$\begin{array} { | l | c | c | c | } \hline \text { Bird } & \text { Leghorn } & \text { Cochin } & \text { Buff Orpington } \\\hline \text { Eggs/week } & 5 & 2 & 4.5 \\\hline \text { Plumage } & 3 & 9 & 6 \\\hline \text { Temperment } & 2 & 8 & 5 \\\hline \text { Fertilizer } & 3 & 2 & 4 \\\hline \text { Appetite } & 5 & 4 & 8 \\\hline\end{array}$$
Temperament is actually measured by the average volume of cackling, clucking, and crowing and is measured in decibels per bird. Appetite is measured in ounces of layer pellets per week consumed by each of the breeds, while fertilizer is measured as the output in ounces per week.
-Formulate the objective function and constraints for this scenario.

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Definitions:

Bandpass Filters

Pass a range of frequencies.

Benjamin Rush

A signer of the Declaration of Independence and a prominent physician and educator, known for his contributions to American medical history and advocacy for public health measures.

Voting Rights

Legal provisions that confer the entitlement to participate in the electoral process to select public officials and decide on referendums.

Thomas Paine

An influential British-born American political activist, philosopher, and writer known for his works "Common Sense" and "The American Crisis" which played a significant role in motivating the American Revolution.