Use the Table Below to Answer the Following Question(s) Answer the Following Question(s) Using a Linear Optimization Model

question 6

Multiple Choice

Use the table below to answer the following question(s) .
The Riviera Transport Company (RTC) produces car accessories at two plants: Dallas and Atlanta. They ship them to major distribution centers in Houston, San Jose, Jacksonville, and Memphis. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. RTC's supply chain manager faces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, not exceed available capacity, and meet customer demand.
Assume Xij = amount shipped from plant i to distribution center j, where i = 1 represents Dallas,
i = 2 represents Atlanta, j = 1 represents Houston, and so on. $\begin{array}{|l|l|l|l|l|l|}\hline \text { Transportation } & \\\text { Model } & \\\hline & \\\hline \text { Data } & \\\hline & \begin{array}{l}\text { Distribution } \\\text { Center }\end{array} \\\hline \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jacksonville } & \text { Memphis } & \text { Capacity } \\\hline \text { Dallas } & 13.00 & 15.25 & 10.99 & 18.48 & 1250 \\\hline \text { Atlanta } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \\\hline \text { Demand } & 175 & 325 & 480 & 950 & \\\hline\end{array}$ Answer the following question(s) using a linear optimization model.
-From the Sensitivity Report on the model, to which of the following cities can Atlanta not ship to without reducing unit cost of production?

• A) Houston
• B) San Jose
• C) Jacksonville
• D) Memphis

---

Definitions:

Power-Driven Machinery

Machines that operate using an external source of power, such as electricity, steam, or fuel, allowing for more efficient production processes in various industries.

Factory Town

A settlement where the main source of employment and community life centers around manufacturing plants or factories.

Voluntary Manumission

The act of a slave owner freeing their slaves of their own volition, without external compulsion, a practice that varied in its frequency and conditions throughout history.

Plantation Crop

A type of crop specifically grown on a large estate or plantation, primarily for sale and not for local consumption, typically including commodities like tobacco, cotton, sugar, and tea.