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Use the Table Below to Answer the Following Questions) Answer the Following Questions) Using a Linear Optimization Model

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Use the table below to answer the following questions).
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.  Transpartation  Model  Data  Distribution  Center  Plant  Houston  Sarn Jose  Jacksorville  Mernphis  Capacity  Dallas 13.0015.2510.9918.481250 Atlarita 10.7515.169.6518.50750 Dernand 175325480950\begin{array} { | l | l | l | l | l | l | } \hline \text { Transpartation } & & & & & \\\text { Model } & & & & & \\\hline & & & & & \\\hline \text { Data } & & & & & \\\hline & \text { Distribution } & & & & \\& \text { Center } & & & & \\\hline \text { Plant } & \text { Houston } & \text { Sarn Jose } & \text { Jacksorville } & \text { Mernphis } & \text { Capacity } \\\hline \text { Dallas } &13.00 & 15.25 & 10.99 & 18.48 & 1250 \\\hline \text { Atlarita } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \\\hline \text { Dernand } & 175 & 325 & 480 & 950 & \\\hline\end{array} Answer the following questions) using a linear optimization model.
-Linear optimization cannot be used on problems having multiple time periods.


Definitions:

Pancreatic Duct

Excretory duct of the pancreas that extends through the gland from tail to head, where it empties into the duodenum at the greater duodenal papilla.

Common Bile Duct

Duct formed by the union of the common hepatic and cystic ducts; it empties into the small intestine.

Nutrient Absorption

The process by which the digestive system absorbs essential nutrients from food into the bloodstream.

Ileum

Third portion of the small intestine, extending from the jejunum to the ileocecal opening into the large intestine.

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