A Warehouse Stocks Five Different Products,A,B,C,and D Each Product Must Have at Least 10,000 Ft²,and No Single

question 25

Essay

A warehouse stocks five different products,A,B,C,and D.The warehouse has a total of 100,000 square feet of floor space available to accommodate all the products that it inventories.The monthly profit per square foot for each product is as follows:
$$\begin{array}{l}\underline{\text { Product }} \quad\underline{ \text { Profit per square foot }}\\\begin{array} { l l } \mathrm { A } && &&\$ 4.50 \\\mathrm {~B} &&&& \$ 3.00 \\\mathrm { C } && &&\$ 2.75 \\\mathrm { D } &&&& \$ 3.75\end{array}\end{array}$$
Each product must have at least 10,000 ft²,and no single product can have more than 25% of the total warehouse space.The warehouse manager wants to know the floor space that should be allocated to each product to maximize profit.

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Definitions:

Sociology

The study of the development, structure, and functioning of human society, including the examination of social problems.

Emile Durkheim

A French sociologist, one of the founding figures in the field of sociology, known for his study of social structures and the functional relationships between parts of society.

Values

Fundamental beliefs or principles that guide behaviors and decisions in individuals and societies.

Macrostructures

Overarching patterns of social relations that lie outside and above one’s circle of intimates and acquaintances. Macrostructures include classes, bureaucracies, and power systems such as patriarchy.