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

question 24

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.
-Which of the following is the constraint for total amount shipped from Atlanta?

• A) X11 + X12 + X13 + X14 - X21 + X22 + X23 + X24 ? 850
• B) X21 + X22 + X23 + X24 ? 750
• C) X21 + X22 + X23 + X24 ? 1250
• D) X11 + X12 + X13 + X14 ? 1250

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Definitions:

Nonsummativity

The principle that the whole is greater than the sum of its parts, often cited in contexts like teamwork and organizational behavior.

Systems Perspective

An analytical approach that views entities as complex wholes comprised of interrelated parts, suggesting that understanding each part requires context of the entire system.

Equifinality

The ability of an open system to reach the same final state from differing initial conditions and by a variety of paths.

Systems Perspective

An analytical approach that views a system as a cohesive whole comprised of interrelated and interdependent parts functioning together.