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

question 39

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.
-Which of the following is the constraint for total amount shipped from Dallas?

• A) X11 + X12 + X13 + X14 ? 1,250
• B) X21 + X22 + X23 + X24 ? 1,250
• C) X21 + X22 + X23 + X24 ? 750
• D) X11 + X12 + X13 + X14 - X21 + X22 + X23 + X24 ? 850

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Definitions:

Productive Efficiency

A situation in which a firm or economy produces goods at the lowest possible cost, utilizing all available resources efficiently.

Allocative Efficiency

A state of the market where resources are allocated in a way that maximizes total consumer and producer surplus.

Oligopolistic Industry

A market structure characterized by a small number of firms dominating the industry, leading to limited competition.

Collude

To cooperate or conspire, especially in a secretive way, with others to deceive or cheat.