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:

White Settlers

Individuals of European descent, particularly from the British Isles, who colonized parts of the Americas, Australia, Africa, and Asia, often displacing indigenous populations.

Wampanoags

A Native American tribe originally from southeastern Massachusetts and Rhode Island, known for their encounter with the Pilgrims at Plymouth in 1621.

Division of Carolina

This refers to the split of the Carolina colony into North and South Carolina in 1712, originally chartered as one territory by the English Crown.

Proprietors

Individuals or entities that own a business or property, characterized by having legal title and the right to use property at their discretion.