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

question 11

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 objective function for cost minimization?

• A)minimize cost = 13 X₁₁ +15.25 X₁₂ +10.99 X₁₃ +18.48 X₁₄ / 10.75 X₂₁ +15.16 X₂₂ +9.65 X₂₃ +18.5 X₂₄
• B)minimize cost = 13 X₁₁ +15.25 X₁₂ +10.99 X₁₃ +18.48 X₁₄ + 10.75 X₂₁ +15.16 X₂₂ +9.65 X₂₃ +18.5 X₂₄
• C)minimize cost = 13 X₁₁ +15.25 X₁₂ +10.99 X₁₃ +18.48 X₁₄ - 10.75 X₂₁ +15.16 X₂₂ +9.65 X₂₃ +18.5 X₂₄
• D)minimize cost = (13 X₁₁ +15.25 X₁₂ +10.99 X₁₃ +18.48 X₁₄ - 10.75 X₂₁ +15.16 X₂₂ +9.65 X₂₃ +18.5 X₂₄ ) (1,250 / 750)

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Definitions:

Metering Scheme

A pricing strategy used by firms to charge customers based on their actual usage of a service or product.

Indirect Discrimination

Discrimination that occurs when a seemingly neutral provision, criterion or practice puts individuals at a particular disadvantage compared to others, often unintentionally.

Core Technology

The primary technology that is central to a company's products or services, often determining its competitive advantage.

Indirect Discrimination

occurs when a seemingly neutral policy or action causes disadvantageous effects on a group of people because of their race, gender, age, or other protected characteristics.