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

Question

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

Quizplus · Accepted Answer

The constraint for the demand met at the Jacksonville distribution center is given by X₁₃ + X₂₃ = 480, as this is the total amount of units that need to be shipped to meet the center's demand. Option A is incorrect as it represents a capacity constraint, not a demand constraint. Option B represents a capacity constraint for the Memphis distribution center. Option C represents the total amount of units that can be shipped from Dallas and Atlanta to the Jacksonville distribution center, but not the actual demand constraint.

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