Use the Table Below to Answer the Following Question(s) Amount Shipped from Plant I to Distribution Center J, Where

question 16

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 = $$\begin{array} { | l | l | l | l | l | l | } \hline \begin{array} { l } \text { Transportation } \\\text { Model }\end{array} & & & & & \\\hline & & & & & \\\hline \text { Data } & & & & & \\\hline & \begin{array} { l } \text { Distribution } \\\text { Center }\end{array} & & & & \\\hline \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jacksonville } & \text { Memphis } & \text { Capacity } \\\hline \text { Dallas } & 13.00 & 15.25 & 10.99 & 18.48 & 1250 \\\hline \text { Atlanta } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \\\hline \text { Demand } & 175 & 325 & 480 & 950 & \\\hline\end{array}$$ 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.
Answer the following question(s) using a linear optimization model.
-Which of the following gives the constraint for the demand met at a distribution center?

• A)X₁₁ + X₂₁ = 1,250
• B)X₁₃ + X₂₃ ≥ 210
• C)X₁₃ + X₂₃ = 770
• D)X₁₃ + X₂₃ = 480

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Definitions:

Margin

A financial metric that measures the amount by which revenue from sales exceeds costs in a business, usually presented as a percentage of revenue.

Maintenance Department

A division within a company responsible for maintaining equipment, facilities, and systems in working order.

Operating Divisions

Distinct areas within a company that are responsible for different operations, products, or markets, often treated as separate business units.

Fixed Costs

Costs that do not vary with the level of production or sales, such as rent, salaries, and insurance premiums, and are inevitable regardless of business activity.