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

question 83

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) .
$$\begin{array} { | c | c | c | c | c | c | } \hline & \mathbf { W } & \mathbf { X } & \mathbf { Y } & \mathbf { Z } & \text { Total Supply } \\\hline \text { A } & \$ 3 & \$ 6 & \$ 4 & \$ 2 & 22,000 \\\hline \text { B } & \$ 7 & \$ 10 & \$ 8 & \$ 6 & 19,000 \\\hline \text { C } & \$ 10 & \$ 13 & \$ 11 & \$ 9 & 14,000 \\\hline \text { D } & \$ 12 & \$ 15 & \$ 13 & \$ 11 & 15,000 \\\hline \text { Total Demand } & 25,000 & 15,000 & 18,000 & 12,000 & \\\hline\end{array}$$
-Which of these is part of an appropriate objective function?

• A)$12? DW + $15? DX + $13? DY + $11? DZ
• B)-$3? AW - $7? BW - $10? CW - $12? DW
• C)CW + CX + CY + CZ = 14,000
• D)CW + CX + CY + CZ ? 14,000

---

Definitions:

Stroop Effect

A phenomenon demonstrating the cognitive interference where the brain's reaction time slows down when it needs to deal with conflicting information.

Color Names

Labels assigned to specific wavelengths of light perceived visually.

Ink

A colored fluid used for writing, printing, or drawing.

Subproblems

Components or parts of a larger problem that can be addressed individually to contribute to the solution of the whole issue.