A Clothing Distributor Has Four Warehouses That Serve Four Large

question 9

Essay

A clothing distributor has four warehouses that 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:
$\begin{array}{ccccc}\text { Warehouse } &\text { City E }&\text { City F }&\text { City G }&\text { City H }\\\text { A } & 0.53 & 0.21 & 0.52 & 0.41 \\\text { B } & 0.31 & 0.38 & 0.41 & 0.29 \\\text { C } & 0.56 & 0.32 & 0.54 & 0.33 \\\text { D } & 0.42 & 0.55 & 0.34 & 0.52 \\\text { City demand } & 2.000 & 3,000 & 3,500 & 5,500\end{array}$
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?

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Definitions:

Children

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Anal Stage

The second stage in Freud's psychoanalytic theory of personality development, occurring roughly between the ages of 18 months and three years, where the focus of pleasure is on the anus and bowel movements.

Psychosexual Development

A Freudian concept describing how personality development occurs through stages during childhood, each characterized by an erogenous zone and specific conflicts.

Compulsively Neat

Describes a person who has an overwhelming need to keep their surroundings extremely tidy, often driven by anxiety or discomfort when things are out of place.