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

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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 cost incurred by Riviera Transport Company?

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Definitions:

Credit Sale

A transaction where goods or services are provided in exchange for a promise to pay at a later date.

Notify Seller

The act of informing the seller about a relevant event, decision, or action, often as required by the terms of a contract or agreement.

Defective Goods

refers to products that are flawed and do not meet the quality or safety standards expected, potentially causing harm or not performing as intended.

Reasonable Time

A legally acceptable period of time that is fair and appropriate under the circumstances for performing a particular act or obligation.

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