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

question 34

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 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:

Exclusive Possession

The legal right to occupy and use property without interference from others, including the owner.

Right of Way

The legal right to pass through property owned by another, or a priority in traffic, allowing certain vehicles or pedestrians to go first.

Estate in Land

The degree, quantity, nature, and extent of interest a person has in real property.

Real Property

Land and anything permanently attached to it, such as buildings and other structures.