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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 38

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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 amount shipped from Atlanta to Jacksonville?


Definitions:

Interface

An interface in programming is a contract or a blueprint that classes can implement; it specifies a set of methods that the implementing class must provide.

Method Headings

The part of a method declaration that includes the method's name, return type, and parameters.

Constant Variables

Variables in programming whose values do not change during the execution of a program, often defined with keywords like 'const' or 'final'.

Interface

A programming structure that specifies a set of methods without implementing them, allowing different classes to be interchangeable if they implement the same interface.

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