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A Clothing Distributor Has Four Warehouses Which Serve Four Large

question 35

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A clothing distributor has four warehouses which serve four large cities. Each warehouse has a monthly capacity of 5,000 blue jeans. They are considering using a transportation LP approach to match demand and capacity. The following table provides data on their shipping cost, capacity, and demand constraints on a per-month basis:
 Warehouse  City E  City F  City G  City H  A .53.21.52.41 B .31.38.41.29 C .56.32.54.33 D .42.55.34.52 City demand 2,0003,0003,5005,500\begin{array} { c c c c c } \text { Warehouse } & \text { City E } & \text { City F } & \text { City G } & \text { City H } \\\hline \text { A } & .53 & .21 & .52 & .41 \\\text { B } & .31 & .38 & .41 & .29 \\\text { C } & .56 & .32 & .54 & .33 \\\text { D } & .42 & .55 & .34 & .52 \\\text { City demand } & 2,000 & 3,000 & 3,500 & 5,500\end{array}
a. How many variables are there in this formulation?
b. How many constraints are involved in this problem?
c. What is the constraint corresponding to City F?


Definitions:

Social

Relating to society or its organization, emphasizing the interaction and relationships between individuals and communities.

Cultural Rules

Norms and guidelines that dictate acceptable behavior within a society or community, often passed down through generations.

Symbolic Interaction

A sociological perspective asserting that people give meaning to objects, events, and behaviors, and that these meanings are created and maintained through symbolic interaction and communication.

Societies

Human associations characterized by patterns of relationships between individuals sharing distinct cultures, institutions, and norms.

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