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

question 24

Multiple Choice

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. $$\begin{array} { | l | l | l | l | l | l | } \hline \text { Transportation } & & & & & \\\text { Model } & & & & & \\\hline & & & & & \\\hline \text { Data } & & & & & \\\hline & \text { Distribution } & & & & \\& \text { Center } & & & & \\\hline \text { Plant } & \text { Houston } & \text { Sarn Jose } & \text { Jacksorville } & \text { Mernphis } & \text { Capacity } \\\hline \text { Dallas } &13.00 & 15.25 & 10.99 & 18.48 & 1250 \\\hline \text { Atlarita } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \\\hline \text { Dernand } & 175 & 325 & 480 & 950 & \\\hline\end{array}$$ Answer the following questions) using a linear optimization model.
-According to the transportation model, 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:

Dollar Contribution Margin

The difference between total sales revenue and total variable costs, expressed in absolute currency terms.

Variable Cost

Costs that change in proportion to the level of production activity or volume, such as raw material costs and direct labor costs.

Fixed Cost

A cost that remains constant, in total, regardless of changes in the level of activity within the relevant range. If a fixed cost is expressed on a per unit basis, it varies inversely with the level of activity.

Margin of Safety Percentage

A metric that measures how much sales can drop before a business reaches its break-even point, typically expressed as a percentage.