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

question 2

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.
-Based on the Sensitivity Report on the model, which of the following is the savings on a reduction of demand of 2 units at Jacksonville?

• A) $2.5
• B) $1.25
• C) $19.48
• D) $16.98

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Definitions:

Ida B Wells

An African American journalist, abolitionist, and feminist who led an anti-lynching crusade in the United States during the 1890s.

Lynching

The illegal execution of an individual by a mob, often by hanging, without a legal trial, historically common in the United States as a form of racial terror against African Americans.

Memphis

A city in the southwestern part of the U.S. state of Tennessee, significant for its historical and cultural contributions.

Progressive State Politics

A political stance or movement emphasizing social reform, democratisation, and efforts to mitigate the effects of inequality and ensure the welfare of citizens through state intervention.