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

question 5

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 transportation model, which of the following is the amount shipped from Dallas to Houston?

• A) 0
• B) 175
• C) 1,180
• D) 750

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Definitions:

Fixed Costs

Payments for rent, salaries to employees, and insurance coverages that stay the same, no matter the production or sales figures.

Break-Even Point

The point at which total costs and total revenue are equal, resulting in no net loss or gain.

Variable Costs

Costs that vary in direct proportion to changes in the amount of production or activity, like costs for direct labor and raw materials.

Fixed Costs

These are expenses that do not change in total regardless of the level of production or sales activity, such as rent, salaries, and insurance.