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

question 89

Multiple Choice

Plants A, B, C, and D produce the same item that is demanded by customers W, X, Y, and Z. Customer demand and plant capacity are shown in the bottom row and rightmost column 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. Use the table to answer the following question(s) .
$$\begin{array} { | c | c | c | c | c | c | } \hline & \mathbf { W } & \mathbf { X } & \mathbf { Y } & \mathbf { Z } & \text { Total Supply } \\\hline \text { A } & \$ 3 & \$ 6 & \$ 4 & \$ 2 & 22,000 \\\hline \text { B } & \$ 7 & \$ 10 & \$ 8 & \$ 6 & 19,000 \\\hline \text { C } & \$ 10 & \$ 13 & \$ 11 & \$ 9 & 14,000 \\\hline \text { D } & \$ 12 & \$ 15 & \$ 13 & \$ 11 & 15,000 \\\hline \text { Total Demand } & 25,000 & 15,000 & 18,000 & 12,000 & \\\hline\end{array}$$
-What is a suitable constraint?

• A)Minimize Cost = $3? S_AW + $6? S_AX + $4? S_AY + $2? S_AZ
• B)Minimize Cost = $3? S_AW + $7? S_BW + $10? Scw + $12? S_DW
• C)S_AW + S_BW + S_CW + S_DW ? 25,000
• D)S_AW + S_AX + S_AY + S_AZ ? 22,000

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Definitions:

Growth-Inhibiting Environment

A setting or condition that restricts or hinders the development and progress of an organism or process.

Unconditional Positive Regard

Accepting and supporting someone regardless of what they say or do, as proposed by Carl Rogers in his client-centered therapy.

Aggressive

Exhibiting forceful actions or behavior, often with the intent to dominate or control.

Humanistic Psychologist

A professional in psychology who focuses on individual potential and stresses the importance of growth and self-actualization.