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

question 18

Multiple Choice

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. $\begin{array}{|l|l|l|l|l|l|}\hline \text { Transportation } & \\\text { Model } & \\\hline & \\\hline \text { Data } & \\\hline & \begin{array}{l}\text { Distribution } \\\text { Center }\end{array} \\\hline \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jacksonville } & \text { Memphis } & \text { Capacity } \\\hline \text { Dallas } & 13.00 & 15.25 & 10.99 & 18.48 & 1250 \\\hline \text { Atlanta } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \\\hline \text { Demand } & 175 & 325 & 480 & 950 & \\\hline\end{array}$ Answer the following question(s) using a linear optimization model.
-According to the Sensitivity Report, which of the following is true if the capacity at Atlanta is increased by 230 units?

• A) the total cost can be reduced by $.09 per unit
• B) the total cost at Atlanta increases by $9
• C) the total cost per unit will reduce by $.09 to Memphis
• D) the shadow price at Atlanta will increase to $0.09

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Definitions:

One-To-Many Relationship

A type of database relationship where a single record in one table can be associated with one or more records in another table.

Records

Pieces of information or data that are stored and managed as part of a larger dataset or database, often consisting of multiple fields to represent different attributes.

Matching Records

Instances in databases or datasets where two or more records are identical or meet specified criteria for similarity.

Customers Table

A structured data representation in databases specifically designed to store customer-related information.