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

question 29

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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.  Transportation  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 { Transportation } & & & & & \\\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.
-According to the transportation model, what is the total cost incurred by Riviera Transport Company?


Definitions:

Obligor

An obligor is an individual or entity legally obliged to provide a benefit or payment to another under the terms of a contract.

Assignment

The transfer of rights, property, or obligations from one party to another, often seen in contractual and legal contexts.

Delegation

The act of assigning responsibility or authority from one person or entity to another to carry out specific activities or tasks.

Third-Party Beneficiary

A person who, although not a party to a contract, stands to benefit from the contract's execution or performance.

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