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

question 26

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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.  Transportation  Model  Data  Distribution  Center  Plant  Houston  San Jose  Jacksonville  Memphis  Capacity  Dallas 13.0015.2510.9918.481250 Atlanta 10.7515.169.6518.50750 Demand 175325480950\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.
-According to the transportation model, what is the total shipment from Dallas?


Definitions:

Fluid Cascade

The flow of a fluid down a series of steps or stages, often used in the context of natural processes or engineering systems to describe dynamic fluid movement.

Fluid Lava

Lava that has low viscosity, allowing it to flow readily and cover large areas, often associated with less explosive volcanic eruptions.

Lava Flows

The movement of lava across the surface of the Earth, typically from a volcanic eruption, cooling to form volcanic rock.

Ash Columns

Vertical plumes of volcanic ash and gas that are ejected into the atmosphere during an explosive volcanic eruption.

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