Plants A, B, C, and D Produce the Same Item

question 67

Essay

Plants A, B, C, and D produce the same item that is demanded by customers W, X, Y, and Z in the amounts shown in the table. The cost to ship one unit between each combination of plants and customers is also shown in the table. The corporation wishes to minimize the total transportation costs of this assignment problem.
What are the decision variables?
What is the objective function?
What are the constraints?
$$\begin{array} { | c | c | c | c | c | c | } \hline & \mathbf { W } & \mathbf { X } & \mathbf { Y } & \mathbf { Z } & \text { Total Supply } \\\hline \text { A } & \$ 3 & \$ 6 & \$ 4 & \$ 2 & 22,000 \\\hline \text { B } & \$ 7 & \$ 10 & \$ 8 & \$ 6 & 19,000 \\\hline \text { C } & \$ 10 & \$ 13 & \$ 11 & \$ 9 & 14,000 \\\hline \text { D } & \$ 12 & \$ 15 & \$ 13 & \$ 11 & 15,000 \\\hline \text { Total Demand } & 25,000 & 15,000 & 18,000 & 12,000 & \\\hline\end{array}$$

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Definitions:

Uterine Tissue

The complex layer of cells and connective tissues that line the uterus, playing crucial roles in menstruation, pregnancy, and childbirth.

Sexual Minorities

Individuals whose sexual orientation, gender identity, or sexual characteristics differ from the majority's societal norms.

Health Care

A broad term encompassing all services and activities aimed at promoting, maintaining, or restoring health, including prevention, diagnosis, treatment, and palliation.

Cultural Competence

The ability of individuals and organizations to effectively interact, work, or provide services across different cultures and socio-economic backgrounds.