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

question 2

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.
-Based on the Sensitivity Report on the model, which of the following is the savings on a reduction of demand of 2 units at Jacksonville?

• A) $2.5
• B) $1.25
• C) $19.48
• D) $16.98

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Definitions:

Demand For Z

The desire for a specific product or service, labeled 'Z', within a market that consumers are willing and able to purchase at a given price.

Excise Tax

A tax applied to specific goods, services, or activities, often to discourage their use or to raise government revenue.

Price Of Cigarettes

The cost that consumers pay to purchase cigarettes, which can vary widely based on taxes, manufacturing costs, and availability.

Supply Curve

A graph showing the relationship between the price of a good and the quantity of the good that suppliers are willing and able to produce at that price.