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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 42

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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 Memphis?


Definitions:

Recycling Revenue

Income generated from selling recyclable materials that have been collected, processed, and remanufactured into new products.

Processing Cost

The expenses involved in the transformation of raw materials into finished products, including labor, machine usage, and utilities.

Disposal Cost

The expenses associated with getting rid of waste, byproducts, or unwanted materials, including transportation, processing, and regulatory fees.

Revenue Retrieval

Revenue Retrieval involves the process or strategies deployed to recover or increase income that has been lost or underachieved.

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